Question

Last year, Tony used 12.8 gallons of water to fill up his pool. This year, he brought a larger pool and predicts he will need 253% more water. How much water does he predict he will need next year?

Answer 1

32.384 gallons

Explanation

we can easily solve this by using a rule of three.

Step 1

a) let x represents the amount of water he will need ( gallons), used last year si 100%

`\begin{gathered} if\text{ } \\ 12.8\text{ }\Rightarrow\text{ 100 \%} \\ then \\ x\Rightarrow253\text{ \%} \end{gathered}`

now, we can set a proportion

`(12.8)/(100)=(x)/(253)`

b) finally, solve for x

`\begin{gathered} (12.8)/(100)=(x)/(253) \\ Multiply\text{ both sides by 253} \\ (12.8)/(100)*253=(x)/(253)*253 \\ 32.384=x \end{gathered}`

therefore, He will need 32.384 gallons

I hope this helps you