Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks. A group of friends are at a baseball game and are purchasing souvenirs. Jessica purchased 3 t-shirts and 2 baseball caps, spending a total of $141. Her Raymond purchased 3 t-shirts and 1 baseball cap, which cost him a total of $111. Assuming that all of the t-shirts and all of the caps are the same price, what is the price of each?

each female costume requires 8 metres of fabric and every male costume requires 6 metres of fabric.

Explanation-

let f be the female costumes and m be the male costumes:

3f + 4m = 48

3f + 2m = 36

solve simultaneous equations

2m = 12

male = 6 metres

sub vale back in

3f + 2m = 36

3f + (2×6) = 36

3f + 12 = 36

3f = 24

f = 8 metres

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