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