SOLUTION: T-shirts are on sale for $4 and sweaters are on sale for $8. On a particular day 100 garments are sold for $660. How many of each type of clothing were sold?

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: T-shirts are on sale for $4 and sweaters are on sale for $8. On a particular day 100 garments are sold for $660. How many of each type of clothing were sold?       Log On


   

Question 1074474: T-shirts are on sale for $4 and sweaters are on sale for $8. On a particular day 100 garments are sold for $660. How many of each type of clothing were sold?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = number of T-shirts sold
Let +b+ = number of sweaters sold
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(1) +a+%2B+b+=+100+
(2) +4a+%2B+8b+=+660+
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(2) +a+%2B+2b+=+165+
Subtract (1) from (2)
(2) +a+%2B+2b+=+165+
(1) +-a+-+b+=+-100+
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+b+=+65+
and
(1) +a+%2B+65+=+100+
(1) +a+=+35+
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35 T-shirts and 65 sweaters were sold
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check:
(2) +4a+%2B+8b+=+660+
(2) +4%2A35+%2B+8%2A65+=+660+
(2) +140+%2B+520+=+660+
(2) +660+=+660+
OK