Chapter 3

The ball game sold \(\$ 1,340\) in tickets one Saturday. The number of \(\$ 12\) adult tickets was 15 more than twice the number of \(\$ 5\) child tickets. How many of each were sold?

The ice rink sold 95 tickets for the afternoon skating session, for a total of \(\$ 828 .\) General admission tickets cost \(\$ 10\) each and youth tickets cost \(\$ 8\) each. How many general admission tickets and how many youth tickets were sold?

The box office sold 360 tickets to a concert at the college. The total receipts were \(\$ 4170\). General admission tickets cost \(\$ 15\) and student tickets cost \(\$ 10\). How many of each kind of ticket was sold?

Last Saturday, the museum box office sold 281 tickets for \(a\) total of \(\$ 3954 .\) Adult tickets cost \(\$ 15\) and student tickets cost \(\$ 12\) How many of each kind of ticket was sold?

Julie went to the post office and bought both \(\$ 0.41\) stamps and \(\$ 0.26\) postcards. She spent \(\$ 51.40\). The number of stamps was 20 more than twice the number of postcards. How many of each did she buy?

Jason went to the post office and bought both \(\$ 0.41\) stamps and \(\$ 0.26\) postcards and spent \(\$ 10.28\). The number of stamps was four more than twice the number of postcards. How many of each did he buy?

Maria spent \(\$ 12.50\) at the post office. She bought three times as many \(\$ 0.41\) stamps as \(\$ 0.02\) stamps. How many of each did she buy?

Hector spent \(\$ 33.20\) at the post office. He bought four times as many \(\$ 0.41\) stamps as \(\$ 0.02\) stamps. How many of each did he buy?

Hilda has \(\$ 210\) worth of \(\$ 10\) and \(\$ 12\) stock shares. The numbers of \(\$ 10\) shares is five more than twice the number of \(\$ 12\) shares. How many of each does she have?

Mario invested \(\$ 475\) in \(\$ 45\) and \(\$ 25\) stock shares. The number of \(\$ 25\) shares was five less than three times the number of \(\$ 45\) shares. How many of each type of share did he buy?

Macario is making 12 pounds of nut mixture with macadamia nuts and almonds. Macadamia nuts cost \(\$ 9\) per pound and almonds cost \(\$ 5.25\) per pound. How many pounds of macadamia nuts and how many pounds of almonds should Macario use for the mixture to cost \(\$ 6.50\) per pound to make?

Estelle is making 30 pounds of fruit salad from strawberries and blueberries. \(\quad\) Strawberries cost \(\$ 1.80\) per pound and blueberries cost \(\$ 4.50\) per pound. If Estelle wants the fruit salad to cost her \(\$ 2.52\) per pound, how many pounds of each berry should she use?

Carmen wants to tile the floor of his house. He will need 1000 square feet of tile. He will do most of the floor with a tile that costs \(\$ 1.50\) per square foot, but also wants to use an accent tile that costs \(\$ 9.00\) per square foot. How many square feet of each tile should he plan to use if he wants the overall cost to be \(\$ 3\) per square foot?

Riley is planning to plant a lawn in his yard. He will need nine pounds of grass seed. He wants to mix Bermuda seed that costs \(\$ 4.80\) per pound with Fescue seed that costs \(\$ 3.50\) per pound. How much of each seed should he buy so that the overall cost will be \(\$ 4.02\) per pound?

Vartan was paid \(\$ 25,000\) for a cell phone app that he wrote and wants to invest it to save for his son's education. He wants to put some of the money into a bond that pays \(4 \%\) annual interest and the rest into stocks that pay \(9 \%\) annual interest. If he wants to earn \(7.4 \%\) annual interest on the total amount, how much money should he invest in each account?

Vern sold his 1964 Ford Mustang for \(\$ 55,000\) and wants to invest the money to earn him \(5.8 \%\) interest per year. He will put some of the money into Fund A that earns \(3 \%\) per year and the rest in Fund B that earns \(10 \%\) per year. How much should he invest into each fund if he wants to earn \(5.8 \%\) interest per year on the total amount?

Stephanie inherited \(\$ 40,000\). She wants to put some of the money in a certificate of deposit that pays \(2.1 \%\) interest per year and the rest in a mutual fund account that pays \(6.5 \%\) per year. How much should she invest in each account if she wants to earn \(5.4 \%\) interest per year on the total amount?

Avery and Caden have saved \(\$ 27,000\) towards a down payment on a house. They want to keep some of the money in a bank account that pays \(2.4 \%\) annual interest and the rest in a stock fund that pays \(7.2 \%\) annual interest. How much should they put into each account so that they earn \(6 \%\) interest per year?

Dominic pays \(7 \%\) interest on his \(\$ 15,000\) college loan and \(12 \%\) interest on his \(\$ 11,000\) car loan. What average interest rate does he pay on the total \(\$ 26,000\) he owes? (Round your answer to the nearest tenth of a percent.)

Liam borrowed a total of \(\$ 35,000\) to pay for college. He pays his parents \(3 \%\) interest on the \(\$ 8,000\) he borrowed from them and pays the bank \(6.8 \%\) on the rest. What average interest rate does he pay on the total \(\$ 35,000 ?\) (Round your answer to the nearest tenth of a percent.)

As the treasurer of her daughter's Girl Scout troop, Laney collected money for some girls and adults to go to a 3 -day camp. Each girl paid \(\$ 75\) and each adult paid \(\$ 30\). The total amount of money collected for camp was \(\$ 765 .\) If the number of girls is three times the number of adults, how many girls and how many adults paid for camp?

Laurie was completing the treasurer's report for her son's Boy Scout troop at the end of the school year. She didn't remember how many boys had paid the \(\$ 15\) full-year registration fee and how many had paid the \(\$ 10\) partial-year fee. She knew that the number of boys who paid for a full-year was ten more than the number who paid for a partial-year. If \(\$ 250\) was collected for all the registrations, how many boys had paid the full-year fee and how many had paid the partial-year fee?

Suppose you have six quarters, nine dimes, and four pennies. Explain how you find the total value of all the coins.

In the following exercises, solve using triangle properties. The measures of two angles of a triangle are 26 and 98 degrees. Find the measure of the third angle.

In the following exercises, solve using triangle properties. The measures of two angles of a triangle are 61 and 84 degrees. Find the measure of the third angle.

In the following exercises, solve using triangle properties. The measures of two angles of a triangle are 105 and 31 degrees. Find the measure of the third angle.

In the following exercises, solve using triangle properties. The measures of two angles of a triangle are 47 and 72 degrees. Find the measure of the third angle.

In the following exercises, solve using triangle properties. The perimeter of a triangular pool is 36 yards. The lengths of two sides are 10 yards and 15 yards. How long is the third side?

In the following exercises, solve using triangle properties. A triangular courtyard has perimeter 120 meters. The lengths of two sides are 30 meters and 50 meters. How long is the third side?

In the following exercises, solve using triangle properties. If a triangle has sides 6 feet and 9 feet and the perimeter is 23 feet, how long is the third side?

In the following exercises, solve using triangle properties. If a triangle has sides 14 centimeters and 18 centimeters and the perimeter is 49 centimeters, how long is the third side?

In the following exercises, solve using triangle properties. A triangular flag has base one foot and height 1.5 foot. What is its area?

In the following exercises, solve using triangle properties. A triangular window has base eight feet and height six feet. What is its area?

In the following exercises, solve using triangle properties. What is the base of a triangle with area 207 square inches and height 18 inches?

In the following exercises, solve using triangle properties. What is the height of a triangle with area 893 square inches and base 38 inches?

In the following exercises, solve using triangle properties. One angle of a right triangle measures 33 degrees. What is the measure of the other small angle?

In the following exercises, solve using triangle properties. One angle of a right triangle measures 51 degrees. What is the measure of the other small angle?

In the following exercises, solve using triangle properties. One angle of a right triangle measures 22.5 degrees. What is the measure of the other small angle?

In the following exercises, solve using triangle properties. One angle of a right triangle measures 36.5 degrees. What is the measure of the other small angle?

In the following exercises, solve using triangle properties. The perimeter of a triangle is 39 feet. One side of the triangle is one foot longer than the second side. The third side is two feet Ionger than the second side. Find the length of each side.

In the following exercises, solve using triangle properties. The perimeter of a triangle is 35 feet. One side of the triangle is five feet longer than the second side. The third side is three feet longer than the second side. Find the length of each side.

In the following exercises, solve using triangle properties. One side of a triangle is twice the shortest side. The third side is five feet more than the shortest side. The perimeter is 17 feet. Find the lengths of all three sides.

In the following exercises, solve using triangle properties. One side of a triangle is three times the shortest side. The third side is three feet more than the shortest side. The perimeter is 13 feet. Find the lengths of all three sides.

In the following exercises, solve using triangle properties. The two smaller angles of a right triangle have equal measures. Find the measures of all three angles.

In the following exercises, solve using triangle properties. The measure of the smallest angle of a right triangle is \(20^{\circ}\) less than the measure of the next larger angle. Find the measures of all three angles.

In the following exercises, solve using triangle properties. The angles in a triangle are such that one angle is twice the smallest angle, while the third angle is three times as large as the smallest angle. Find the measures of all three angles.

In the following exercises, solve using triangle properties. The angles in a triangle are such that one angle is \(20^{\circ}\) more than the smallest angle, while the third angle is three times as large as the smallest angle. Find the measures of all three angles.

In the following exercises, solve using rectangle properties. The length of a rectangle is 85 feet and the width is 45 feet. What is the perimeter?

In the following exercises, solve using rectangle properties. The length of a rectangle is 26 inches and the width is 58 inches. What is the perimeter?

In the following exercises, solve using rectangle properties. A rectangular room is 15 feet wide by 14 feet long. What is its perimeter?