Question

A paint mixer wants to mix paint that is 15% gloss with paint that is 30% gloss to make 6 gallons that is 25% gloss. How many gallons of each paint should the paint mixer mix together?

Answer 1

I just responded to a similar question earlier.

x + y = 6
.15x + .30y = 6(.25)

Answer 2

What do you do next ?

Answer 3

This is systems of equations. You find x and y which gives you the amount of gallons of each paint

Answer 4

Can you explain this step by step I'm having trouble trying to work this out.

Answer 5

You've never done systems of equations before?

Answer 6

I have but I can't remember how to start or anything . I'm doing poorly in algebra 1 right now :(

Answer 7

Okay, but take notes...

Using given equations:
x + y = 6
.15x + .30y = 6(.25)

Write each equation in terms of y as follows:
y = 6 - x
y = (1.5 - .15x)/.30

Next set expressions y = y, then cross multiply:
.30(6 - x) = 1.5 - .15x

Now solve for x:
1.8 - .30x = 1.5 = .15x

.3 = .15x
.3/.15 = x
2 = x

2 gallons of paint for the 15% gloss

Now substitute x back into the original equation to solve for y:
2 + y = 6
y = 6 - 2
y = 4

4 gallons of paint for the 30% gloss

Answer 8

Thanks

Answer 9

I prefer if you think me with medals :D