Fred has 6-gallon tanks and George has 5-gallon tanks. They both purchased the same amount of gasoline to fill their tanks. What is the smallest amount of gasoline they could have purchased?
A) 12 gallons
B) 60 gallons
C) 90 gallons
D) 30 gallons
E) 10 gallons

Question

Fred has 6-gallon tanks and George has 5-gallon tanks. They both purchased the same amount of gasoline to fill their tanks. What is the smallest amount of gasoline they could have purchased? ​
A) 12 gallons
B) 60 gallons
C) 90 gallons
D) 30 gallons
E) 10 gallons

Quizplus · Accepted Answer

To find the smallest amount of gas they could have purchased, we need to find the greatest common divisor (GCD) of 6 and 5, which is 1. This means that they would need to purchase enough gasoline to fill both tanks to a multiple of 1 gallon. The smallest such multiple that is greater than or equal to both tank sizes is 30 gallons. Therefore, the smallest amount of gasoline they could have purchased is 30 gallons.

Fred Has 6-Gallon Tanks and George Has 5-Gallon Tanks