# 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?

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
$\frac{m}{g a l l o n}$ = $\frac{606}{12.5}$ = $\frac{m}{1}$

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.

Nov 10, 2017

$26$ gallons of gas

#### Explanation:

$606$ miles on $12.5$ $g a l l o n s$ of gas

$\therefore 1260$ miles$= {\cancel{1260}}^{210} / {\cancel{606}}^{101} \times \frac{12.5}{1}$

$\therefore \frac{210 \times 12.5}{101}$

$\therefore \frac{2625}{101}$

$\therefore = 26$ gallons of gas to the nearest gallon

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Check:

$\therefore 1260$ miles$= 26$ gallons of gas

$\therefore 606$ miles$= {\cancel{606}}^{101} / {\cancel{1260}}^{210} \times \frac{26}{1}$

$\therefore \frac{101 \times 26}{210}$

$\therefore \frac{2626}{210}$

$\therefore 12.5$ gallons of gas to the nearest gallon