SOLUTION: Dots sells T-shirts ($2) and shorts ($7). In April, total sales were $527. People bought 5 times as many T-shirts as shorts. How many T-shirts and shorts did Dots sell?

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Question 1186287: Dots sells T-shirts ($2) and shorts ($7). In April, total sales were $527. People bought 5 times as many T-shirts as shorts.
How many T-shirts and shorts did Dots sell?
Answer by ikleyn(52805) About Me  (Show Source):
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Dots sells T-shirts ($2) and shorts ($7). In April, total sales were $527.
People bought 5 times as many T-shirts as shorts.
How many T-shirts and shorts did Dots sell?
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Let x be the number of shorts.

Then the number of T-shirts is 5x, according to the condition.


Now we write the total money equation


    7x + 2*(5x) = 527  dollars    (total sales)


Next, we simplify, solve and find x


    7x + 10x = 527

      17x    = 527

        x    = 527/17 = 31.


ANSWER.  31 shorts and 5*31 = 155 T-shirts.


CHECK.   7*31 + 2*155 = 527 dollars, total.    ! Correct !

Solved.