Respuesta :
Answer:
28 short-sleeved shirts were sold and 23 long-sleeved shirts were sold.
Step-by-step explanation:
We can solve this question by a system of equations.
I am going to say that:
x is the number of short-sleeved shirts sold.
y is the number of long-sleeved shirts sold.
A department store sold 51 shirts one day.
This means that [tex]x + y = 51[/tex]
All short-sleeved shirts cost $14.00 each and all long-sleeved shirts cost $23.00 each. Total receipts for the day were $921.00.
This means that
[tex]14x + 23y = 921[/tex]
How many of each kind of shirt were sold?
We have to solve the system of equations.
[tex]x + y = 51[/tex]
[tex]x = 51 - y[/tex]
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[tex]14x + 23y = 921[/tex]
[tex]14(51 - y) + 23y = 921[/tex]
[tex]714 - 14y + 23y = 921[/tex]
[tex]9y = 207[/tex]
[tex]y = \frac{207}{9}[/tex]
[tex]y = 23[/tex]
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[tex]x = 51 - y = 51 - 23 = 28[/tex]
28 short-sleeved shirts were sold and 23 long-sleeved shirts were sold.
