A department store sold 67 shirts one day. All short sleeved shirts cost $15.00 each and all long sleeved shirts cost $26.00 eac

Question

3 years ago

13

h. Toatl receipts for the day were $1,335.00. How many of each kind of shirt were sold?

1 answer:

earnstyle [38] · Answer 1 · 2022-08-29T08:18:28+03:00

37 short-sleeved shirts were sold and 30 long-sleeved shirts were sold

Step-by-step explanation:

Let s be the number of short-sleeved shirts

and

l be the number of long sleeved-shirts

Then according to given statements

$s+l = 67\ \ \ Eqn\ 1\\15s+26l = 1335\ \ \ Eqn\ 2$

From eqn 1:

$s = 67-l$

Putting in equation 2:

$15(67-l)+26l = 1335\\1005-15l+26l = 1335\\1005+11l = 1335\\11l = 1335-1005\\11l = 330$

Dividing both sides by 11

$\frac{11l}{11} = \frac{330}{11}\\l = 30$

Putting l=30 in equation 1

$s+30 = 67\\s = 67-30\\s =37$

Hence,

37 short-sleeved shirts were sold and 30 long-sleeved shirts were sold

Keywords: Linear equations

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