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([solve by writing an equation])
A pair of jeans costs 75% as much as a pair of corduroy pants. what is the cost of each if the total cost for the jeans and cords is $42?
I know the answer is Jeans: $18 and Cords: $24 but how do I write that in an equation to solve??
thank you!!!

Respuesta :

Let the pair of jeans cost x dollars and the pair of corduroy cost y dollars.

"A pair of jeans costs 75% as much as a pair of corduroy pants."

this means [tex] x=\frac{75}{100}*y [/tex], simplifying by 25:

[tex]x= \frac{3}{4} y[/tex]           (equation 1)


"the total cost for the jeans and cords is $42?"

x+y=42    (equation 2)

substitute x form equation 1, in equation 2

x+y=42 

[tex] \frac{3}{4} y+y=42[/tex]

[tex] \frac{3}{4} y+ \frac{4}{4} y=42[/tex]

[tex]7y=4*42 [/tex]

y=4*6=24

substitute y=24 in either of equations 1 or 2:

x+y=42    (equation 2)
x+24=42
x=42-24=18

Answer: Jeans cost 18$, Cords cost 24$ 

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