Question

a utility service company has a fleet of cars and trucks. the gas tank of each car has a volume of 16 gallons, and the gas tank of each truck has a volume of 30 gallons. if it takes 2,000 gallons of gas to fill the empty gas tanks of the entire fleet, which equation shows the possible number of cars, c, and number of trucks, t, in the fleet?
choose 1 answer:
a 16t + 30c = 2,000
b 30t + 16c = 2,000
c t + 30c = 2,000
d t + 16c = 2,000

Explanation:

Step1: Calculate gas - volume for cars

The gas tank of each car has a volume of 16 gallons. If there are \(c\) cars, the total gas - volume for cars is \(16c\) gallons.

Step2: Calculate gas - volume for trucks

The gas tank of each truck has a volume of 30 gallons. If there are \(t\) trucks, the total gas - volume for trucks is \(30t\) gallons.

Step3: Set up the equation

The total amount of gas to fill the entire fleet is 2000 gallons. So, the sum of the gas - volume for cars and trucks is equal to 2000 gallons. The equation is \(30t + 16c=2000\).

Answer:

B. \(30t + 16c = 2,000\)