Question

I need some help with my grade 10 math work

A music store had a sale on tapes and CDs. Tapes were on sale for $5 each and CDs were on sale for $7. During the sale, 32 tapes and CDs were sold. The cash receipts from the sale of the tapes and CDs, before taxes, were $200. Let x represent the number of tapes and let y represent the number of CDs sold during the sale.

Answer 1

12 tapes and 20 CDs were sold.

Explanation:

Since a music store had a sale on tapes and CDs, and tapes were on sale for $ 5 each and CDs were on sale for $ 7, and during the sale, 32 tapes and CDs were sold, and the cash receipts from the sale of the tapes and CDs, before taxes, were $ 200, to determine the number of CDs and tapes sold during the sale, the following calculation must be performed:

7 - 5 = 2

32 x 5 = 160

200 - 160 = 40

40/2 = 20

32 - 20 = 12

12 x 5 + 20 x 7 = X

60 + 140 = X

200 = X

Therefore, 12 tapes and 20 CDs were sold.