playtime toy shop is having its annual holiday sale, when every toy in the store gets marked down. during…

playtime toy shop is having its annual holiday sale, when every toy in the store gets marked down. during the sale, max purchases 6 wild wheels diecast cars to add to his collection, each at $2 less than its full price. max pays a total of $57. how much does each wild wheels diecast car cost at full price?

playtime toy shop is having its annual holiday sale, when every toy in the store gets marked down. during the sale, max purchases 6 wild wheels diecast cars to add to his collection, each at $2 less than its full price. max pays a total of $57. how much does each wild wheels diecast car cost at full price?

Answer

Explanation:

Step1: Let the full - price of each car be $x$.

The sale - price of each car is $x - 2$.

Step2: Calculate the total amount paid.

Max buys 6 cars at the sale - price, so the total amount he pays is $6(x - 2)$. We know this total is $57$. So, we have the equation $6(x - 2)=57$.

Step3: Expand the left - hand side of the equation.

Using the distributive property $a(b - c)=ab - ac$, we get $6x-12 = 57$.

Step4: Solve for $x$.

Add 12 to both sides of the equation: $6x-12 + 12=57 + 12$, which simplifies to $6x=69$. Then divide both sides by 6: $x=\frac{69}{6}=11.5$.

Answer:

$11.5$