Question

A gas tank holds 16 1/8 gallons when it is 3/4 full. How many gallons of gas does the tank hold when it is completely full?

Answer 1

`21(1)/(2)\ gallons`

Explanation:

Convert mixed number to an improper fraction

`16(1)/(8)\ gallons =(16*8+1)/(8)=(129)/(8)\ gallons`

remember that

`(3)/(4)=0.75=75\%`

by proportion

`((129/8))/((75))(gallons)/(\%) =(x)/(100)(gallons)/(\%) \\ \\x=100*(129/8)/75\\ \\x= (129)/(6)\ gallons\\ \\x=21(1)/(2)\ gallons`