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.<

1 thought on “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.<”

1. 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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