Question

A motorcycle can travel 500 miles on 25 gallons of gasoline. How far can it travel on 32 gallons of gasoline.

Answer 1

For us to be able to determine how far will 32 gallons of gasoline will go, we will be using ratios and proportions.

We get,

Let x = the distance it can travel at 32 gallons

`\text{ 500 miles : 25 gallons = x : 32 gallons}`
`\text{ 500 miles : 25 gallons = x : 32 gallons }\rightarrow\text{ }\frac{\text{ 500 miles}}{\text{ 25 (gallons)}}\text{ = }\frac{\text{ x}}{\text{ 32 (gallons)}}`
`\text{ (500 miles)}(32)\text{ = (}x)(25)`
`\text{ 16000 miles = 25x}`
`\text{ }\frac{\text{16000 miles}}{25}\text{ = }\frac{\text{25x}}{25}`
`\text{ x = }640\text{ miles}`

Therefore, 32 gallons of gasoline can make the motorcycle travel 640 miles.