Question 1137930
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Note that, if a formal algebraic solution is not required, this problem can be solved very quickly with a little logical reasoning and some simple mental arithmetic.<br>
The total cost of all the shirts is $55, which is a multiple of $5.  The T-shirts cost $5 each; so the total cost of the t-shirts is a multiple of $5.<br>
That means the total cost of the sleeve shirts has to be a multiple of $5.  If they cost $8 each and the total cost of all the shirts was $55, then the number of sleeve shirts has to be 5.<br>
So the 5 sleeve shirts cost 5($8) = $40, leaving $55-$40 = $15 for the t-shirts.  At $5 each, the number of t-shirts he can buy for $15 is 3.<br>
ANSWER: 5 sleeve shirts; 3 t-shirts.