The proportion used by Daniel is [tex]\frac{6}{33} = \frac{x}{100}[/tex]
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:
[tex]\frac{6}{33} = \frac{x}{100}[/tex]
[tex]6 \times 100 = 33 \times x\\\\x = \frac{600}{33}\\\\x = 18.18 \approx 18[/tex]
Thus it takes 18 weeks to complete 100 hours of volunteer
