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
[tex]s+l = 67\ \ \ Eqn\ 1\\15s+26l = 1335\ \ \ Eqn\ 2[/tex]
From eqn 1:
[tex]s = 67-l[/tex]
Putting in equation 2:
[tex]15(67-l)+26l = 1335\\1005-15l+26l = 1335\\1005+11l = 1335\\11l = 1335-1005\\11l = 330[/tex]
Dividing both sides by 11
[tex]\frac{11l}{11} = \frac{330}{11}\\l = 30[/tex]
Putting l=30 in equation 1
[tex]s+30 = 67\\s = 67-30\\s =37[/tex]
Hence,
37 short-sleeved shirts were sold and 30 long-sleeved shirts were sold
Keywords: Linear equations
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