Luke was buying toy cars and trucks. If he bought 2000 toy cars and 2012 toy trucks, he would need $9036. If he bought 2006 toy cars and 2006 toy trucks, he would need $9027. How much would 1 toy truck costs?

Answer 1

Let the cost of one toy car be x and the cost of one toy truck be y.
From the information given, we can set up the following equations:
2000x + 2012y = 9036 ...(1)
2006x + 2006y = 9027 ...(2)
To solve these equations, we will use the method of elimination or substitution.
First, let's eliminate x by multiplying equation (2) by (-1):
-2006x - 2006y = -9027
Now we can add this equation to equation (1) to eliminate x:
(2000x + 2012y) + (-2006x - 2006y) = 9036 + (-9027)
6y = 9
Divide both sides of the equation by 6 to solve for y:
y = 9/6 = 3/2 = $1.50
Therefore, 1 toy truck costs $1.50.