Question

A department store sold 62 shirts one day. All short-sleeved shirts cost $11.00 each and all long-sleeved shirts cost $17.00 each. Total receipts for the day were $844.00. How many of each kind of shirt were sold?a. Short-Sleeve:b. Long-Sleeve:

Answer 1

Answer: 35 short sleeve shirts and 27 long sleeve shirts were sold.

Explanation:

Let x represent the number of Short-Sleeve shirts that were sold.

Let y represent the number of long-Sleeve shirts that were sold.

A department store sold 62 shirts one day. This means that

x + y = 62

All short-sleeved shirts cost $11.00 each and all long-sleeved shirts cost $17.00 each. Total receipts for the day were $844.00. This means that

11x + 17y = 844 - - - - - - - - - - - - -1

Substituting x = 62 - y into equation 1, it becomes

11(62 - y) + 17y = 844

682 - 11y + 17y = 844

- 11y + 17y = 844 - 682

6y = 162

y = 162/6

y = 27

x = 62 - y = 62 - 27

x = 35

Answer 2

a. Short-Sleeve = 35

b. Long-Sleeve = 27

Explanation:

Given data:

Total shirts sold = 62

short sleeved cost = 11 each

Long sleeved cost = 17 each

Total receipts = 844

Let the count of short sleeved be X and Let the count of long sleeved be Y

X + Y = 62 (equation 1) from the total shirts sold

11X + 17Y = 844 (equation 2) from the total receipts

From equation 1 X = 62 - Y (Equation 3)

Substituting equation 3 into equation 2

11(62 - Y) +17Y = 844

682 -11Y + 17Y = 844

-11Y + 17Y = 844-682

6Y = 162

Therefore Y = 27

Substituting Y into equation 3

X = 62 - Y

X = 62 - 27

X = 35