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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