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?

2 Answers
Ms. Worth
Nov 10, 2017

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.

Barney V. · Kushagra
Nov 10, 2017

#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

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

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

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