Question

Levi Jeans Company at the Silverthorne, Colorado Outlet store sells bootcut jeans for $40 and straight leg jeans for $60. If customer’s bought 5 times more bootcut than straight leg jeans and last month’s sales totaled $6,500, how many of each pair of jeans were sold?

Answer 1

Write down the equations you know!

40x + 60y = 6500
x = 5y

x = bootcut jeans
y = straight leg jeans

Replace 'x' with it's equation, then solve for y.

40(5y) + 60y = 6500
200y + 60y = 6500
260y = 6500
y = 25

Now plug that back into one of the original equations:

x = 5y
x = 5(25)
x = 125

125 = bootcut jeans
25 = straight leg jeans

Answer 2

okay so we know the ratio of jeans sold is 5/1 so lets put that into an equation.

6,500 = $40(5*x) + $60(1*x) so lets solve for x.

so lets merge 40(5x) + 60(x) = 260(x)
6,500 = 260(x)

Divide both sides by 260. 6,500/260 = (260(x))/260 = 25

so lets plug it in. 6,500 = 40(5*25) + 60(1*25) = 5,000 + 1,500 = 6,500.

So the answer is 25!