Question

Ashley drove 260 miles using 12 gallons of gas. At this rate, how many gallons of gas would she need to drive 286 miles?

Answer 1

She will need 13.2 gallons to drive 286 miles

Explanation:

Step 1

Consider the expression below;

T=G×N

where;

T-total miles traveled

G-number of miles per gallon

N=quantity of gas consumed

This can also be expressed as;

Total miles=number of miles per gallon×number of gallons

In our case;

T=260 miles

G=unknown

N=12 gallons

replacing;

260=G×12

12 G=260

G=260/12

G=21.67 miles per gallon

Step 2

Using the same expression;

T=G×N

where;

T=286 miles

G=21.67 miles per gallon

N=unknown

replacing;

286=21.67×N

21.67 N=286

N=286/21.67

N=13.2 gallons

She will need 13.2 gallons to drive 286 miles