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2 years ago

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A department store sold 62 shirts one day. All short-sleeved shirts cost $11.00 each and all long-sleeved shirts cost $17.00 eac

h. Total receipts for the day were $844.00. How many of each kind of shirt were sold?a. Short-Sleeve:b. Long-Sleeve:

2 answers:

slava [35]2 years ago

5 0

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

<em>Let the count of short sleeved be X and Let the count of long sleeved be Y</em>

X + Y = 62 <em>(equation 1) from the total shirts sold</em>

11X + 17Y = 844 <em>(equation 2) from the total receipts</em>

<em>From equation 1</em> X = 62 - Y <em>(Equation 3)</em>

<em>Substituting equation 3 into equation 2</em>

11(62 - Y) +17Y = 844

682 -11Y + 17Y = 844

-11Y + 17Y = 844-682

6Y = 162

Therefore Y = 27

<em>Substituting Y into equation 3</em>

X = 62 - Y

X = 62 - 27

X = 35

Aleksandr [31]2 years ago

3 0

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

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