Answer:
a. Short-Sleeve = 35
b. Long-Sleeve = 27
Step-by-step 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
Answer: 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
