Question

Daniel completed 33 volunteer hours at an animal shelter during 6 weeks. He wants to volunteer at the same rate until he completes 100 hours. Daniel determined how many weeks it will take him to do this. Which proportion did Daniel use?

Answer 1

33/6 = 100/x

Explanation:

Answer 2

The proportion used by Daniel is
`(6)/(33) = (x)/(100)`

It takes 18 weeks to complete 100 hours of volunteer

Solution:

Given that, Daniel completed 33 volunteer hours at an animal shelter during 6 weeks

He wants to volunteer at the same rate until he completes 100 hours

To find: Number of weeks taken for 100 hours

Let "x" be the number of weeks taken for 100 hours

From given information,

6 weeks = 33 hours

"x" weeks = 100 hours

This forms a proportion and we can solve the sum by cross multiplying

The proportion formed is:

`(6)/(33) = (x)/(100)`

`6 * 100 = 33 * x\\\\x = (600)/(33)\\\\x = 18.18 \approx 18`

Thus it takes 18 weeks to complete 100 hours of volunteer