Algebra I Part 1
Solving Ratios/Proportions, Percent Change
Name: _______________________________
Determine whether each pair of ratios are equivalent ratios. Write yes or no.
1.
4 6
,
3 8
2.
39.68 6.4
,
60.14 9.7
Solve each proportion. If necessary, round to the nearest hundredth.
3.
t 6

2 12
7.
7
21

x  9 36
4.
15 g

35 7
5.
8
v

13 21
6.
1
12

0.19 n
8. CAR WASH The B-Clean Car Wash washed 128 cars in 3 hours. At that rate, how many cars can they wash
in 8 hours?
9. MODELS An artist used interlocking building blocks to build a scale model of Kennedy Space Center,
Florida. In the model, 1 inch equals 1.67 feet of an actual space shuttle. The model is 110.3 inches tall.
How tall is the actual space shuttle? Round to the nearest tenth.
Solve each proportion. If necessary, round to the nearest hundredth.
10.
6
7

14 x  3
11.
3y 1

4
9
12.
9b  3 5b  5

9
3
13. ATHLETES At Piedmont High School, 3 out of every 8 students are athletes. If there are 1280 students at
the school, how many are not athletes?
State whether each percent of change is a percent of increase or a percent of decrease. Then find the percent
of change. Round to the nearest whole percent.
14. original: 35
new: 40
15. original: 16
new: 10
26. GASOLINE The average cost of regular gasoline in North Carolina increased by 73% from 2006 to 2007. If
the average cost of a gallon of gas in 2006 was $2.069, what was the average cost in 2007? Round to the
nearest cent.
Find the total price of each item.
Find the discounted price of each item.
17. magazine: $3.50
tax: 5.75%
18. athletic shoes: $59.99
discount: 40%
Find the final price of each item.
19. sweater: $14.99
discount: 12%
tax: 6.25%
20. FINANCIAL LITERACY The current price of each share of a technology company is $135. If this represents
a 16.2% increase over the past year, what was the price per share a year ago?
21. RECREATIONAL SPORTS In 1995, there were 73,567 youth softball teams. By 2007, there were 86,049.
Determine the percent of increase.
22. ERROR ANALYSIS Maddie and Xavier are solving for the percent change if the original amount was $25
and the new amount is $28. Is either of them correct? Explain your reasoning.