Question

A company sells T-shirts for $11 each and sweatshirts for $19 each.The number of T-shirts sold was 10 fewer than three times the number of sweatshirts sold. The T-shirts and sweatshirts sold for a total of $1,970. How many T-shirts were sold?
T-shirts

Answer 1

Answer:

Number of T-SHIRT sold = x = 110

Number of sweatshirt = y = 40

Step-by-step explanation:

Let

Number of T-SHIRT sold = x

Number of sweatshirt = y

The number of T-shirts sold was 10 fewer than three times the number of sweatshirts sold.

x = 3y - 10

Cost of each T-SHIRT = $11

Cost of sweatshirt = $19

Total cost = $1,970

Total = x + y

1,970 = 11(3y - 10) + 19y

1970 = 33y - 110 + 19y

1970 + 110 = 33y + 19y

2080 = 52y

y = 2,080/52

y = 40

Substitute y = 40 into

x = 3y - 10

x = 3(40) - 10

x = 120 - 10

x = 110

Number of T-SHIRT sold = x = 110

Number of sweatshirt = y = 40