From the first equation, x + y = 164, we can isolate x to find x = 164 - y.
Substitute this value of x in the second equation: 2x + 1/2y = 229.
2(164 - y) + 1/2y = 229
328 - 2y + 1/2y = 229
Multiply through by 2 to remove the fraction: 656 - 4y + y = 458
Combine like terms: 656 - 3y = 458
Subtract 656 from both sides: -3y = -198
Divide both sides by -3: y = 66
Substitute this value of y back to the first equation: x + 66 = 164
Subtract 66 from both sides: x = 98
Dealership A sold 98 cars.
Dealership B sold 66 trucks.
A company owns two dealerships, both of which sell cars and trucks. The first dealership sells a total of 164 cars and trucks. The second dealership sells twice as many cars and half as many trucks as the first dealership, and sells a total of 229 cars and trucks.
An equation for the total cars and trucks for dealership A:
x + y = 164
An equation for the total cars and trucks for dealership B:
2x + 1/2y = 229
How many cars did dealership A sell?
How many trucks did the dealership B sell?
1 answer