Question

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 same?

Answer 1

To find the number of photographs for which the cost of the two photography studios is the same, set up an equation and solve for the unknown. The cost of the two studios is the same for 36 photographs.

Step-by-step explanation:

To find the number of photographs for which the cost of the two photography studios is the same, we need to set up an equation and solve for the unknown. Let x represent the number of photographs.

For the first studio, the cost is given by: cost = 45 + 2.50x.

For the second studio, the cost is given by: cost = 3.75x.

Setting these two expressions equal to each other:

45 + 2.50x = 3.75x.

Now, we can solve for x:

45 = 3.75x - 2.50x.

45 = 1.25x.

x = 45 / 1.25.

x = 36.

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

Answer 2

The answer would be 12