Question

Dots sells a total of 267 T-shirts ($2) and shorts ($3). In April, total sales were $633.

How many T-shirts and shorts did Dots sell?

Answer 1

lets 
s = # of shorts sell
and
t = # of shirts sell

s + t = 267 so s = 267 - t
3s + 2t = 633

substitute s = 267 - t     into   3s + 2t = 633

3s + 2t = 633
3(267 - t) + 2t = 633
801 - 3t + 2t = 633
-t = -168
t = 168

s = 267 - t
s = 267 - 168
s = 99

answer
shirts = 168
shorts = 99