SOLUTION: Carrie bought in the mall three blouses, two ties, and one necklace. One tie cost twice the price of a blouse; the cost of one tie was four times the price of the necklace. One tie

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Question 971871: Carrie bought in the mall three blouses, two ties, and one necklace. One tie cost twice the price of a blouse; the cost of one tie was four times the price of the necklace. One tie costs $45. What was the total amount Carrie spent at the mall?
Is $168.75 the correct answer?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +b+ = cost of 1 blouse
Let +t+ = cost of 1 tie
Let +n+ = cost of 1 necklace
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(1) +3b+%2B+2t+%2B+n+ is the total cost of items
(2) +t+=+2b+
(3) +t+=+4n+
(4) +t+=+45+
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(2) +45+=+2b+
(2) +b+=+22.5+
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(3) +45+=+4n+
(3) +n+=+11.25+
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(1) +3b+%2B+2t+%2B+n+
(1) +3%2A22.5+%2B+2%2A45+%2B+11.25+
(1) +67.5+%2B+90+%2B+11.25+=+168.75+
Total cost is $168.75
You are correct if my math is OK