You buy 3 T-shirts and 2 pairs of shorts for $42.50. Your friend buys 5 T-shirts and 3 pairs of shorts for $67.50. What is the cost of each T-shirt?

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Answer 1 · 2018-06-21T13:15:09

I got #$10# for one short and #$7.50# for one T-shirt.

Call the cost of one t-shirt #t# and one short #s#, you get:

#3t+2s=42.5#
#5t+3s=67.5#

we solve for #t# and #s#:
From the first:

#t=(42.5-2s)/3#

into the second:

#5(42.5-2s)/3+3s=67.5#

#212.5-10s+9s=202.5#

#s=$10#

giving:

#t=(42.5-2*10)/3=$7.5#