Question

If you scale down the ratio on the left, what will you get for the unknown quantity on the right? 434 miles14 gallons = ?2 gallons A. 62 miles B. 31 miles C. 124 miles D. 72 miles

Answer 1

option (A) 62 miles

Explanation:

Data provided in the question:

Ratio on the left = 434 miles : 14 gallons

ratio on the right = ?? : 2 gallons

Now,

The ratio on the both sides are equal

let the unknown value in the ratio be 'x'

Now, the ratio a : b can also be represented as
`(a)/(b)`

therefore,

434 miles : 14 gallons = x : 2 gallons

or

⇒
`\frac{\textup{434 miles}}{\textup{14 gallons}}` =
`\frac{\textup{x}}{\textup{2}}`

or

⇒ x =
`\frac{\textup{434 miles}}{\textup{14 gallons}}*2 gallons}`

or

⇒ x = 62 miles

Hence,

the correct answer is option (A) 62 miles