Question

Write an equation for each problem. Then solve.

16. Photo Plus charges $2 for each print plus
a $6 processing fee. Picture Time charges
$3 for each print plus a $4 processing fee.
For what number of prints is the price the
same at both stores?

Answer 1

The price is the same at both stores for 2 prints.

Explanation:

Equations

Let's set the variable

x = number of photo prints

Company Photo Plus charges $2 for each print and $6 for a processing fee, thus the total charges are:

PP = 6 + 2x

Company Picture Time charges $3 for each print and $4 for a processing fee, thus it charges a total of:

PT = 4 + 3x

It's required to find the number of prints that make both stores charge the same. Equating both functions:

6 + 2x = 4 + 3x

Subtracting 2x and 4:

x = 2

The price is the same at both stores for 2 prints.