Question

A car rental agency initially offers a car that can go 304 miles on 19/2 gallons of gasoline. There are other vehicles available at the agency, shown below. Which of the other cars have a greater unit rate of miles per gallon than the recommended car?

A) 187 miles on 17/2 gallons
B) 357 miles on 21/2 gallons
C) 216 miles on 27/2 gallons
D) 209 miles on 11/2 gallons
E) 115 miles on 5/2 gallons

Answer 1

Given:
304 miles on 19/2 gallons of gasoline.

304 miles ÷ 19/2 gallons = 304 miles * 2/19 gallon = 608 /19 = 32 miles per gallon.

Compute unit rate of each choices.
a) 187 miles ÷ 17/2 gallons = 187 * 2/17 = 374/17 = 22 miles per gallon
b) 357 miles ÷ 21/2 gallons = 357 * 2/21 = 714/21 = 34 miles per gallon
c) 216 miles ÷ 27/2 gallons = 216 * 2/27 = 432/27 = 16 miles per gallon
d) 209 miles ÷ 11/2 gallons = 209 * 2/11 = 418/11 = 38 miles per gallon
e) 115 miles ÷ 5/2 gallons = 115 * 2/5 = 230/5 = 46 miles per gallon

The car with the greater unit rate of miles per gallon than the recommended car is CHOICE E. 46 MILES PER GALLON