Answer:
There were 14 cars and 3 trucks at the gas station
Step-by-step explanation:
This problem can be modeled by a system of equations.
I am going to say that x is the number of cars at the gas station and y is the number of trucks at the gas station.
The problem states that there were a total of 17 cars and trucks get gasoline at the gas station. It means that x + y = 17.
The problem also states that each car gets 8 gallons of gasoline and each truck gets 19 gallons of gasoline, and that the station sells 169 gallons of gasoline. So 8x + 19y = 169.
So, we have a system with these following equations:
1) x + y = 17
2) 8x + 19y = 169
I am going to write x as a function of y in 1) and replace it in 2)
x = 17 - y
8(17 - y) + 19y = 169
11y = 169 - 136
11y = 33
y = 3
So, there were 3 trucks at the gas station.
From 1)
x = 17 - y
x = 17 - 3
x = 14
There were 14 cars at the gas station.
