Question

Write a proportion and then solve it for each problem. Be sure to show all the steps for

solving a proportion. If necessary, round answers to the nearest tenth.
1. What number is 70% of 45?
2. 23% of 75 is what number?
3. 45 is what percent of 90?
4. What percent of 77 is 7?
5. 15 is 25% of what number?
6. 18% of what number is 43?
100

Answer 1

1. To find 70% of 45, set up the proportion x/45 = 70/100. Cross-multiply to solve for x. 2. To find 23% of 75, set up the proportion x/75 = 23/100. Cross-multiply to solve for x. 3. To find what percent 45 is of 90, set up the proportion 45/90 = x/100.

Step-by-step explanation:

1. To find 70% of 45, we can set up the proportion: x/45 = 70/100. Cross-multiplying, we get x = (70/100) * 45 = 31.5, so 70% of 45 is 31.5.
2. To find 23% of 75, we can set up the proportion: x/75 = 23/100. Cross-multiplying, we get x = (23/100) * 75 = 17.25, so 23% of 75 is 17.25.
3. To find what percent 45 is of 90, we can set up the proportion: 45/90 = x/100 . Cross-multiplying, we get x = (45/90) * 100 = 50, so 45 is 50% of 90.
4. To find what percent 7 is of 77, we can set up the proportion: 7/77 = x/100. Cross-multiplying, we get x = (7/77) * 100 = 9.09, so 7 is approximately 9.09% of 77.
5. To find what number 15 is 25% of, we can set up the proportion: 15/x = 25/100. Cross-multiplying, we get x = (100/25) * 15 = 60, so 15 is 25% of 60.
6. To find 18% of what number is 43, we can set up the proportion: x/43 = 18/100. Cross-multiplying, we get x = (18/100) * 43 = 7.74, so 18% of approximately 43 is 7.74.