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Lily bought 6 skirts and 5 coats for a total of $452.62. If Lily's
sister bought 3 skirts and 5 coats for $289.36, what was the
price of one coat?
$_ _(round to the nearest cent)

Respuesta :

thistleBranch

Let x = cost of one skirt

Let y = cost of one coat.

We need to construct a system of equations to help us solve this problem.

Lily: $452.62 = 6x + 5y

Sis: $289.36 = 3x + 5y.

Let's solve this by elimination. Multiply the second equation by -1

Lily: $452.62 = 6x + 5y

Sis: -$289.36 = -3x + -5y. Add the equations together.

$163.26 = 3x. Divide each side by 3.

$54.42 = x. Plug this into one of our original equations.

$452.62 = 6(54.42) + 5y. Multiply 6 by 54.42

$452.62 = 326.52 + 5y. Subtract 326.52 from each side.

$126.1 = 5y. Divide each side by 5

$25.22 = y.

One coat costs $25.22

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