Megan went clothes shopping and bought 2 pairs of flare jeans, 2 camisoles, and 4 t-shirts for $90.00. at the same store, paige bought one pair of flare jeans and 3 t-shirts for $42.50, while kara bought 1 pair of flare jeans, 3 camisoles, and 2 t-shirts for $62.00. determine the price of each clothing item.

Question

Mathematics

Susan Hays

16 January, 01:16

Megan went clothes shopping and bought 2 pairs of flare jeans, 2 camisoles, and 4 t-shirts for $90.00. at the same store, paige bought one pair of flare jeans and 3 t-shirts for $42.50, while kara bought 1 pair of flare jeans, 3 camisoles, and 2 t-shirts for $62.00. determine the price of each clothing item.

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Kyle Guerra · Answer 1

If you let j, c, t represent the prices of jeans, camisoles, and t-shirts, respectively, the three purchases can be described by ...

2j + 2c + 4t = 90.00

1j + 0c + 3t = 42.50

1j + 3c + 2t = 62.00

It is convenient to let a calculator solve these equations. It can tell you the row-reduced matrix equations are ...

[[1 0 0 24.5]

[0 1 0 8.5 ]

[0 0 1 6 ]]

which means

flare jeans cost $24.50

camisoles cost $8.50

T-shirts cost $6.00