Question 1127516
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Using formal algebra....<br>
(1) x+y = 375  [the total number of shirts is 375]
(2) 23x+28.50y = 9862.50  [the total price of the shirts is $9862.50]<br>
Solve by any method you want.  For me, the easiest is to multiply (1) by 23 and subtract from (2), giving an equation in y that I can solve.<br>
I'll let you finish the algebraic solution.<br>
Using logical reasoning, we can get the answer using basically the same calculations, but without the formal algebra.<br>
(1) If all 375 shirts cost $23 each, the total sales would be $8625.
(2) The actual sales is $9862.05; the difference in the two totals is $9862.50-$8625 = $1237.50.
(3) The number of more expensive shirts is that difference of $1237.50, divided by the difference in price between the two shirts, $5.50.
(4) 1237.5/5.5 = 225<br>
ANSWER: 225 long sleeve shirts and 375-225 = 150 short sleeve shirts were sold.