Answer:
She will need 13.2 gallons to drive 286 miles
Step-by-step 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
