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AysviL [449]
3 years ago
8

A department store sold 51 51 shirts one day. All short-sleeved shirts cost $14.00 $ 14.00 each and all long-sleeved shirts cost

$23.00 $ 23.00 each. Total receipts for the day were $921.00 $ 921.00 . How many of each kind of shirt were sold?
Mathematics
1 answer:
Dmitrij [34]3 years ago
7 0

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 x + y = 51

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

14x + 23y = 921

How many of each kind of shirt were sold?

We have to solve the system of equations.

x + y = 51

x = 51 - y

--------------

14x + 23y = 921

14(51 - y) + 23y = 921

714 - 14y + 23y = 921

9y = 207

y = \frac{207}{9}

y = 23

--------

x = 51 - y = 51 - 23 = 28

28 short-sleeved shirts were sold and 23 long-sleeved shirts were sold.

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