SOLUTION: Dots sells a total of 285 T-shirts ($2) and shorts ($6). In April, total sales were $666. How many T-shirts and shorts did Dots sell? Tshirts= Shorts=

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: Dots sells a total of 285 T-shirts ($2) and shorts ($6). In April, total sales were $666. How many T-shirts and shorts did Dots sell? Tshirts= Shorts=      Log On

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Question 1133812: Dots sells a total of 285 T-shirts ($2) and shorts ($6). In April, total sales were $666.
How many T-shirts and shorts did Dots sell?
Tshirts=
Shorts=
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
t T-shirts
b Shorts

system%28t%2Bb=285%2C2t%2B6b=666%29

Question asks for t and b.
b=285-t
-
2t%2B6%28285-t%29=666
t%2B3%28285-t%29=333
t%2B3%2A285-3t=333
-2t=333-3%2A285
2t=3%2A285-333
highlight%28t=261%29------highlight%28b=24%29

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Here's another way to solve this kind of problem informally, without algebra.

(1) If all 285 sales had been t-shirts, the total sales would have been 285*$2 = $570.
(2) The actual total sales, $666, is $666-$570 = $96 more than that.
(3) The difference between the cost of each t-shirt and each pair of shorts is $4.
(4) The number of shorts that had to be sold to make those other $96 in sales is $96/$4 = 24.

Answer: 24 shorts and 285-24 = 261 t-shirts