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:

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

Step-by-step 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

a

explanation: