The Memorial Middle School Band has 108 members. They want to buy jackets with the name of the band on the back. What is the difference in the total price of the screen-print and the embroidered jackets?

Answer: Hello!

If we define S as the price of the screen-print ones, and E as the price of the embroidered jackets, then the total price for 108 of each is:

Screen-print = 108*S

embroidered = 108*E

If you want to know the difference in the prices, you need to do a subtraction of the prices, this is:

108*S - 108*E

now we see that 108 is a common factor, then we can do an "inverse distribution"

108*S - 108*E = 108 * (S - E)

then the difference in the prices is the amount of students multiplied by the difference in the prices for each jacket.

The difference is 1404.

Step-by-step explanation:

108 x 48 = 5184

108 x 35 = 3780

5184-3780=1404