Question

In a certain clothing store, 6 shirts and 3 ties cost $79.50, and 3 shirts and 2 ties cost$41. Determine the cost of each shirt.

a) $10.00 b)$11.00
c) $12.00 Answers 1. minhkhoi The price of shirt is$12 and the price of tie is $2.5. According to the statement We have given that: Let money spent on shirt = X and money spent on tie is Y. So, 6X + 3Y =$79.5 and 3X + 2Y = $41 then We have to find the the cost of each shirts. Here we use the Elimination method. Now, 6X + 3Y =$79.5  -(1)
3X + 2Y = $41 -(2) By elimination method Multiply (1) by 3 and (2) by 6 then 18X + 9Y =$238.5
18X + 12Y = $246 Then solve it and equation become -3Y = -$7.5
Y = 2.5
It means the cost of tie is $2.5 and now the cost of shirt is 6X + 3Y =$79.5
6X + 3(2.5) = $79.5 6X + 7.5 =$79.5
6X = $72 X =$12.
So, The price of shirt is $12 and the price of tie is$2.5.
Learn more about Elimination method here https://brainly.com/question/12691830
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