50 asap. the director of a local ballet company needs to print the programs for the next performance. janet’s print shop charges $0.25 per program plus a $35 set-up fee. the printing press charges $0.15 per program plus a $50 set-up fee.

find the number of programs for which the total costs are the same. explain how you determined the number of programs.

For this case we find the expression that represents the cost of each printing press.

x: Be the variable that represents the number of programs to print

So:

Cost 1: Janet’s Print Shop

Cost 2: The Printing Press

If we want to find the number of programs for which the costs are the same, then we equate both equations:

Thus, for 150 programs the cost is the same.

For 150 programs the cost is the same.

(2)/(3) =( 4)/( 3+x)

Cross multiply

2*(3+x)= 4*3

Solve bracket

6+2x=12

Subtract 6 from both sides

2x=6

Divide both sides by 2

x=3

Hope it helps :-)