Chapter 3

Elementary Algebra · 278 exercises

Problem 106

The nutrition fact sheet at a fast food restaurant says a small portion of chicken nuggets has 190 calories, and 114 calories are from fat. What percent of the total calories is from fat?

5 step solution

Problem 107

Emma gets paid \(\$ 3,000\) per month. She pays \(\$ 750\) a month for rent. What percent of her monthly pay goes to rent?

5 step solution

Problem 108

Dimple gets paid \(\$ 3,200\) per month. She pays \(\$ 960\) a month for rent. What percent of her monthly pay goes to rent?

6 step solution

Problem 109

Tamanika got a raise in her hourly pay, from \(\$ 15.50\) to \(\$ 17.36\). Find the percent increase.

3 step solution

Problem 110

Ayodele got a raise in her hourly pay, from \(\$ 24.50\) to \(\$ 25.48\). Find the percent increase.

3 step solution

Problem 111

Annual student fees at the University of California rose from about \(\$ 4,000\) in 2000 to about \(\$ 12,000\) in 2010 . Find the percent increase.

3 step solution

Problem 112

The price of a share of one stock rose from \(\$ 12.50\) to \(\$ 50\). Find the percent increase.

4 step solution

Problem 113

According to Time magazine annual \(\quad\) global seafood consumption rose from 22 pounds per person in the \(1960 \mathrm{~s}\) to 38 pounds per person in 2011 . Find the percent increase. (Round to the nearest tenth of a percent.)

5 step solution

Problem 114

In one month, the median home price in the Northeast rose from \(\$ 225,400\) to \(\$ 241,500\). Find the percent increase. (Round to the nearest tenth of a percent.

3 step solution

Problem 115

A grocery store reduced the price of a loaf of bread from \(\$ 2.80\) to \(\$ 2.73\). Find the percent decrease.

4 step solution

Problem 116

The price of a share of one stock fell from \(\$ 8.75\) to \(\$ 8.54 .\) Find the percent decrease.

3 step solution

Problem 117

Hernando's salary was \(\$ 49,500\) last year. This year his salary was cut to \(\$ 44,055\). Find the percent decrease.

3 step solution

Problem 118

In 10 years, the population of Detroit fell from 950,000 to about 712,500 . Find the percent decrease.

3 step solution

Problem 119

In 1 month, the median home price in the West fell from \(\$ 203,400\) to \(\$ 192,300\). Find the percent decrease. (Round to the nearest tenth of a percent.)

4 step solution

Problem 120

Sales of video games and consoles fell from \$1,150 million to \(\$ 1,030\) million in 1 year. Find the percent decrease. (Round to the nearest tenth of a percent.)

4 step solution

Problem 126

Kenneth loaned his niece \(\$ 1,200\) to buy a computer. Two years later, she paid him back the \(\$ 1,200\), plus \(\$ 96\) interest. What was the rate of interest?

5 step solution

Problem 127

Lebron loaned his daughter \(\$ 20,000\) to help her buy a condominium. When she sold the condominium four years later, she paid him the \(\$ 20,000,\) plus \(\$ 3,000\) interest. What was the rate of interest?

5 step solution

Problem 128

Pablo borrowed \(\$ 50,000\) to start a business. Three years later, he repaid the \(\$ 50,000,\) plus \(\$ 9,375\) interest. What was the rate of interest?

4 step solution

Problem 129

In 10 years, a bank account that paid 5.25\% earned \(\$ 18,375\) interest. What was the principal of the account?

5 step solution

Problem 134

Sophie saw a dress she liked on sale for \(\$ 15\) off. The original price of the dress was \(\$ 96\).

3 step solution

Problem 137

Angelo's store is having a sale on televisions. One television, with original price \(\$ 859,\) is selling for \(\$ 125\) off.

3 step solution

Problem 141

Erys bought a treadmill on sale at \(35 \%\) off. The original price was \(\$ 949.95\) (round to the nearest cent.)

5 step solution

Problem 147

Nikki bought a patio set on sale for \(\$ 480\). The original price was \(\$ 850\). To the nearest tenth of a percent, what was the rate of discount?

3 step solution

Problem 148

Stella bought a dinette set on sale for \(\$ 725\). The original price was \(\$ 1,299 .\) To the nearest tenth of a percent, what was the rate of discount?

3 step solution

Problem 155

Leaving a Tip At the campus coffee cart, a medium coffee costs \$1.65. MaryAnne brings \(\$ 2.00\) with her when she buys a cup of coffee and leaves the change as a tip. What percent tip does she leave?

2 step solution

Problem 156

Splitting a Bill Four friends went out to lunch and the bill came to \(\$ 53.75 .\) They decided to add enough tip to make a total of \(\$ 64,\) so that they could easily split the bill evenly among themselves. What percent tip did they leave?

3 step solution

Problem 157

Without solving the problem "44 is \(80 \%\) of what number" think about what the solution might be. Should it be a number that is greater than 44 or less than 44? Explain your reasoning.

4 step solution

Problem 158

Without solving the problem "What is \(20 \%\) of 300?" think about what the solution might be. Should it be a number that is greater than 300 or less than 300 ? Explain your reasoning.

5 step solution

Problem 159

After returning from vacation, Alex said he should have packed \(50 \%\) fewer shorts and \(200 \%\) more shirts. Explain what Alex meant.

4 step solution

Problem 160

Because of road construction in one city, commuters were advised to plan that their Monday morning commute would take \(150 \%\) of their usual commuting time. Explain what this means.

5 step solution

Problem 161

Jaime has \(\$ 2.60\) in dimes and nickels. The number of dimes is 14 more than the number of nickels. How many of each coin does he have?

5 step solution

Problem 162

Lee has \(\$ 1.75\) in dimes and nickels. The number of nickels is 11 more than the number of dimes. How many of each coin does he have?

6 step solution

Problem 163

Ngo has a collection of dimes and quarters with a total value of \(\$ 3.50\). The number of dimes is seven more than the number of quarters. How many of each coin does he have?

5 step solution

Problem 165

A cash box of \(\$ 1\) and \(\$ 5\) bills is worth \(\$ 45 .\) The number of \(\$ 1\) bills is three more than the number of \(\$ 5\) bills. How many of each bill does it contain?

5 step solution

Problem 166

Joe's wallet contains \(\$ 1\) and \(\$ 5\) bills worth \(\$ 47\). The number of \(\$ 1\) bills is five more than the number of \(\$ 5\) bills. How many of each bill does he have?

6 step solution

Problem 167

Rachelle has \(\$ 6.30\) in nickels and quarters in her coin purse. The number of nickels is twice the number of quarters. How many coins of each type does she have?

5 step solution

Problem 168

Deloise has \(\$ 1.20\) in pennies and nickels in a jar on her desk. The number of pennies is three times the number of nickels. How many coins of each type does she have?

5 step solution

Problem 169

Harrison has \(\$ 9.30\) in his coin collection, all in pennies and dimes. The number of dimes is three times the number of pennies. How many coins of each type does he have?

5 step solution

Problem 170

Ivan has \(\$ 8.75\) in nickels and quarters in his desk drawer. The number of nickels is twice the number of quarters. How many coins of each type does he have?

5 step solution

Problem 171

In a cash drawer there is \(\$ 125\) in \(\$ 5\) and \(\$ 10\) bills. The number of \(\$ 10\) bills is twice the number of \(\$ 5\) bills. How many of each are in the drawer?

6 step solution

Problem 172

John has \(\$ 175\) in \(\$ 5\) and \(\$ 10\) bills in his drawer. The number of \(\$ 5\) bills is three times the number of \(\$ 10\) bills. How many of each are in the drawer?

5 step solution

Problem 173

Carolyn has \(\$ 2.55\) in her purse in nickels and dimes. The number of nickels is nine less than three times the number of dimes. Find the number of each type of coin.

6 step solution

Problem 174

Julio has \(\$ 2.75\) in his pocket in nickels and dimes. The number of dimes is 10 less than twice the number of nickels. Find the number of each type of coin.

6 step solution

Problem 175

Chi has \(\$ 11.30\) in dimes and quarters. The number of dimes is three more than three times the number of quarters. How many of each are there?

5 step solution

Problem 176

Tyler has \(\$ 9.70\) in dimes and quarters. The number of quarters is eight more than four times the number of dimes. How many of each coin does he have?

5 step solution

Problem 177

Mukul has \(\$ 3.75\) in quarters, dimes and nickels in his pocket. He has five more dimes than quarters and nine more nickels than quarters. How many of each coin are in his pocket?

6 step solution

Problem 178

Vina has \(\$ 4.70\) in quarters, dimes and nickels in her purse. She has eight more dimes than quarters and six more nickels than quarters. How many of each coin are in her purse?

6 step solution

Problem 179

The school play sold \(\$ 550\) in tickets one night. The number of \(\$ 8\) adult tickets was 10 less than twice the number of \(\$ 5\) child tickets. How many of each ticket were sold?

6 step solution

Problem 180

If the number of \(\$ 8\) child tickets is seventeen less than three times the number of \(\$ 12\) adult tickets and the theater took in \(\$ 584,\) how many of each ticket were sold?

5 step solution

Problem 181

The movie theater took in \(\$ 1,220\) one Monday night. The number of \(\$ 7\) child tickets was ten more than twice the number of \(\$ 9\) adult tickets. How many of each were sold?

7 step solution

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