Question

Jose is in the same class as Liz and he is also collecting aluminum cans. He has collected 36 cans, which is 18% of his goal. How many cans must Jose collect to reach his goal?

Answer 1

Jose must collect 200 cans to reach his goal.

Explanation:

Jose has collected 36 cans.

This number, 36 is 18% of his goal.

Part A

A percentage is a ratio of 100, therefore:

`One\text{ ratio is the percent: }(18)/(100)`

The second ratio is the number of cans already collected compared to the total number of cans.

• Cans already collected = 36

,

• Total number of cans = x (the unknown).

`\text{The second ratio is: }(36)/(x)`

Part B

We then have the equivalent ratio:

`(18)/(100)=(36)/(x)`

• Eighteen is multiplied by ,2, to get ,36.

,

• Multiply 100 by the same amount.

`100*2=200`

Jose must collect 200 cans to reach his goal.

CHECK

`\begin{gathered} (18*2)/(100*2)=(36)/(200)=(36)/(x) \\ \implies x=200 \end{gathered}`