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?

Question

GPT-4o mini · Answer

Let the full price of each Wild Wheels diecast car be denoted as $ p $. During the sale, each car is marked down by $2, so the sale price of each car is $ p - 2 $.

Max purchases 6 cars, and the total cost he pays can be represented as:

\[ 6 \times (p - 2) = 57 \]

Now, we will simplify the left side of the equation:

\[ 6(p - 2) = 57 \]

Distributing the 6 gives:

\[ 6p - 12 = 57 \]

Next, we will solve for $ p $ by adding 12 to both sides:

\[ 6p = 57 + 12 \] \[ 6p = 69 \]

Now, we divide both sides by 6:

\[ p = \frac{69}{6} \] \[ p = 11.5 \]

Thus, the full price of each Wild Wheels diecast car is:

\[ \boxed{11.50} \]