Solve Proportions
A savings account increases by 3% every year. In 2020, the balance of the account was $50. What was the balance of the account in 2021?
25%
A pair of sneakers cost $72. The store offers a 35% discount. How much money will you save?
$25.20
A restaurant increases its prices by 5%. The original cost of the meal is $14.50. What is the new cost of the meal?
$15.23
At one particular store, the sale price, s, is always 75% of the displayed price, d. What equation correctly shows how to calculate s from d?
s=0.75d
Taylor is paid $200 per week plus a 16% commission from his merchandise sales. In 2 weeks, he earns a total of 1,000. How much merchandise, in dollars, did Taylor sell in the 2-week period?
$3,750
Sara owns a used furniture store. She bought a chest for $42 and sold it for $73.50. What percent did she markup the chest?
75%
A video game system originally cost $250. The store marks it down by 30%. Then a sales tax of 8% is added. What is the final price?
$189
A small gift shop buys a handmade candle for $18 and marks it up 40%. A customer buys the candle and pays 6% sales tax. How much did the customer pay?
$26.71
James buys french fries and a cheese steak sandwich from a food truck. The fries cost $3. The sandwich costs $10. The tax is 9%. Which expression can be used to find the total price?
a. 10(0.9) + 3 b. 10(1.09)+3
c. (10+3)(0.09) d. (10+3)(1.09)
D
What value of x will make these two expressions equivalent? (Write as a proportion to solve.)
-3/7 = x/21
x=-9
A student's math score increased from 70 to 84. What is the percent increase?
20%
Alex buys a pair of jeans. They are on sale for 10% off the regular price. After taking 10% off, the cashier adds a 6% sales tax. He pays a total of $33.39. How much as the pair of jeans before the sale?
$35.00
Charlotte buys a meal in a restaurant that has a 7% sales tax. She tips an additional 20% after adding the sales tax. She pays a total of $21.82. What is the cost of the meal before tax and tip?
$16.99
A movie theater has seats for 400 people. At the 3 p.m. movie, 20% of the theater was full. At 5 p.m., 15% more of the theater is full. Which expression represents the number of seats that are full at 5 p.m.?
a. 400(0.20)(0.85) b. 400(0.20)(1.15)
c. 400(0.80)(1.15) d. 350(0.80)(0.85)
B
Solve for x if 72/108 and x/54 are equivalent. Write as a proportion to solve.
x= 36
The actual length of a desk is 60 inches. A student measures it as 63 inches. What is the percent error?
5%
Evelyn buys a pair of jeans that are on sale for 20% off. The store has a 6% sales tax applied on the sale price. She pays a total of $21.20. What is the original cost of the jeans?
$25
Danielle buys a dress that is on sale for 35% off. The store has a 4% sales tax applied to the sale price. She pays a total of $29.06. What is the original cost?
$42.99
A school holds a carnival each year. In 2017, 500 people attended the carnival. In 2018, 5% more attended than in 2017. In 2019 4% fewer people attended the carnival than in 2018. Which expression represents the number of people in 2019?
a. 500(0.95)(0.96) b. 500(0.95)(1.04)
c. 500(1.05)(0.96) d. 500(1.05)(1.04)
C
Three students swim in a pool. Mara swims 10% faster than Khaleef. Olivia swims 25% more slowly than Khaleef. Olivia swims at an average speed of 30 meters per minute. What is Mara's average speed?
44 meters per minute
A science class is testing how much a basketball weighs. Actual weight is 22 ounces. Group A measures it as 24 ounces and Group B measures it as 21 ounces. What is each group's percent error? Who is more accurate?
A: 9.1%
B: 4.5%
Group B is more accurate.
A store marks up a pair of shoes by 20% from its wholesale price of $40. Later the store advertises a 20% discount off the marked price. What is the final price?
$38.40
A school store buys water bottles for $12 each. The store marks them up 25% to sell to students. During a special event, students received a 10% discount. After, a 7% tax is added. What is the price of 1 water bottle?
$14.44
When x=6, y=4. If y is proportional to x, what is the value for y when x is 9?
6