Question

Chris stopped for gas twice on a long car trip. The price of gas at the first station was $1.45 per gallon, and the price of gas at the second station was $1.55 per gallon. On the trip, Chris bought a total of 20 gallons of gas and spent $29.80.

Let x = the number of gallons that Chris bought at the first station and y = the number of gallons Chris bought at the second station.

Solve the system of equations to find the number of gallons that Chris bought at the second station.

5

8

12

20

Answer 1

In this question it is given that,

Let x = the number of gallons that Chris bought at the first station and y = the number of gallons Chris bought at the second station.

So we have

`x+ y = 20 => x=20-y \\ 1.45x + 1.55y = 29.80`

Substituting the value of x in the second equation, we will get

`1.45(20-y) + 1.55y = 29.80 \\ 29 -1.45y +1.55y = 29.80 \\ 0.10y = 0.80 \\ y= 8 gallons`

So the correct option is the second option .