Luke sells toy cars for $12 each. His expenses are $3.50 per car, plus $34 for tools. How many cars must he sell for his revenue to equal his expenses

4 cars

Step-by-step explanation:

12-3.50 = 8.5 ( profit )

34÷8.5 = ans

4 cars

Step-by-step explanation:

To find the answer to this we must create an equation.

Let x = number of cars

Revenue = Money he makes and Expenses = money it cost to make the cars.

We know that he makes money by selling cars. He sells each car he makes for 12 dollars. So his revenue = 12x, if x = # of cars

We also know that it cost him $3.50 to make each car, and he spent a total of $34 on tools for the cars. So expenses = 3.50x + 34 if x = # of cars

We want to find how many cars he must sell for his revenue to equal his expenses.

In other words we want to find the value of x when 12x = 3.50x +34

We now solve for x

12x = 3.50x +34

subtract 3.50x from both sides

8.50x = 34

Divide both sides by 8.50

x = 4

So he must sell a total of 4 cars for his revenue to equal his expenses

We can also check our work.

If he sells 4 cars for 12 dollars he would have made 48 dollars.

If he sells 4 cars and each car cost 3.50 to make, it will have cost him $14 to make them. 14 + 34 ( tools spent for making the cars ) = 48

48 = 48.