Question

Multi-Step Equations Task Card Multi-Step Equations Task Card # 35

A photography studio charges a sitting fee of $45 plus $2.50 per photograph. Another photography studio has no sitting fee but charges $3.75 per photograph. For how many photographs is the cost of the photography studios the

Answer 1

To find out for how many photographs the cost of two photography studios is the same, we set up and solve a simple equation. After solving it, it turns out that the costs are the same when 36 photographs are purchased.

Step-by-step explanation:

To determine for how many photographs the cost of the two photography studios will be the same, we need to set up an equation where the total cost from the first studio equals the total cost from the second studio.

Let x represent the number of photographs. For the first studio, the total cost is 45 + 2.50x dollars (a $45 sitting fee plus $2.50 per photograph). For the second studio, which has no sitting fee, the total cost is 3.75x dollars ($3.75 per photograph).

To find the number of photographs for which the costs are equal, we set the two cost expressions equal to each other:

45 + 2.50x = 3.75x

Solving for x, we subtract 2.50x from both sides of the equation:

45 = 3.75x - 2.50x

45 = 1.25x

Dividing both sides by 1.25 to isolate x:

x = 45 / 1.25

x = 36

So, for 36 photographs, the cost of the photography studios is the same.