Question

A hybrid car averages 606 miles on a 12.5 gallon tank of gas. Manuel is planning a 1260-mile vacation in his hybrid car, how many gallons of gas he can expect to burt Manuel needs approximately gallons of gas for his vacation?

Answer 1

Manuel needs approximately 26 gallons of gas for his vacation.

Explanation:

Find the hybrid car's "mpg" -- (miles per each 1 gallon)

This can be solved as a Ratio&Proportion problem
`(m) / (gallon)` = `(606)/12.5` = `(m)/1`

Solve for m (miles)

606 ÷ 12.5 = 48.48
This result means that the hybrid car gets about 48.5 mpg

Find how many gallons to go 1260 miles
1260 miles @ 48.5 miles per gallon needs about 26 gallons

Check by estimating
The car uses about 12 gallons to go about 600 miles
The vacation will travel about 1200 miles -- double the miles given.
So the gallons of gas should double too -- to 24 gallons.

The actual answer is close to the estimate, so it is probably right.

Answer 2

`26` gallons of gas

Explanation:

`606` miles on `12.5` `gallons` of gas

`:.1260` miles`=cancel1260^210/cancel606^101xx12.5/1`

`:.(210xx12.5)/101`

`:.2625/101`

`:.=26` gallons of gas to the nearest gallon

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Check:

`:.1260` miles`=26` gallons of gas

`:.606` miles`= cancel606^101/cancel1260^210xx26/1`

`:.(101xx26)/210`

`:.2626/210`

`:.12.5` gallons of gas to the nearest gallon