At a clothing store, 3 shirts and 8 hats cost $65. The cost for 2 shirts and 2 hats is $30. How much does each shirt and hat cost?

snowlovelydayM

snowlovelydayM

Answered question

2021-05-18

At a clothing store, 3 shirts and 8 hats cost $65. The cost for 2 shirts and 2 hats is $30. How much does each shirt and hat cost?

Answer & Explanation

Szeteib

Szeteib

Skilled2021-05-19Added 102 answers

Let x be the cost of each shirt and y be the cost of each hat. 3 shirt and 8 hats cost $65: 3x+8y=65
2 shirts and 2 hats cost $30: 2x+2y=30
Eliminate all possibilities to find a solution. Here, I first eliminated y. Multiply (2) by 4 to obtain (3): 8x+8y=120
Subtract (1) and (3) and solve for x: 5x=55
x=11
Solve for y using (2): 2(11)+2y=30
22+2y=30
2y=8
y=4
Hence, each shirt costs $11 and each hat costs $4.

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