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?

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

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!

Anika is correct

Step-by-step explanation:

* Lets revise the rules of reflection and rotation

- If point (x , y) reflected across the x-axis  then its image is (x , -y)

- If point (x , y) rotated about the origin by angle 270° clock wise  then

 its image is (-y , x)

* Lets check the vertices of the two triangles

- The vertices of Δ ABC are:

# A (-7 , 2)

# B (-3 , 6)

# C (-2 , 1)

- The vertices of Δ PRQ

# P (-7 , -2)

# R (-3 , -6)

# Q (-2 , -1)

* By comparing between the vertices of the two triangles

∵ Each y-coordinates of Δ PRQ has opposite sign of each

   y-coordinates of Δ ABC

∵ All x-coordinates of Δ PRQ are the same with x-coordinates of

  Δ ABC

- That means Δ PRQ is the image of Δ ABC after reflection across

  the x-axis  

∵ Reflection doesn't change the shape and the size of the figure

∴ Δ ABC and Δ PRQ have same size (equal sides and equal angles)

∴ Δ ABC is congruent to Δ PRQ

* Anika is correct