SOLUTION: Hi, I'm stuck on this problem and would appreciate any help given: You mix 2/5 cups of red paint for every 1/4 cup of blue paint to make 1 5/8 gallons of purple paint. a) how mu

Question 1039804: Hi,
I'm stuck on this problem and would appreciate any help given:
You mix 2/5 cups of red paint for every 1/4 cup of blue paint to make 1 5/8 gallons of purple paint.
a) how much red and blue paint do you use?
B) You decide that you want to make a lighter purple paint. You make the new mixture by adding 1/10 cup of white paint for every 2/5 cup of red paint and 1/4 cup of blue paint. How much red, blue, and white paint do you use to make 3/8 gallon of lighter purple paint?
Thank you so much. This is quite a long problem so I appreciate any and all efforts taken to solve it. Thanks.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
You mix 2/5 cups of red paint for every 1/4 cup of blue paint to make 1 5/8 gallons of purple paint.
a) how much red and blue paint do you use?
(2/5)gallon + (1/4)gallon = 13/20 gallon
---
# of 13/20 gallons in 1 5/8 gallons::
(1 5/8)/(13/20) = (13/8)/(13/20) = 20/8 = 2.5 (13/20) gallons
-------
2.5*(2/5)red = 2.5*0.4 red = 1 gallon of red paint
2.5*(1/4)blue = 5/8 gallon of blue
-------------------------------------------
B) You decide that you want to make a lighter purple paint. You make the new mixture by adding 1/10 cup of white paint for every 2/5 cup of red paint and 1/4 cup of blue paint. How much red, blue, and white paint do you use to make 3/8 gallon of lighter purple paint?
(1/10)gallon + (2/5)gallon + (1/4)gallon = 15/20 gallons
# of 15/20 gallons in (3/8) gallon:
(3/8)/(15/20) = (3/8)(20/15) = (1/2)(5/5) = 1/2 gallons
----
(1/2)(1/10) = 1/20 gallon of white
(1/2)(2/5) = 1/5 gallon of red
(1/2)(1/4) = 1/8 gallon of blue
---------------
Cheers
Stan H.
-------------
RELATED QUESTIONS
You mix 1/4 cup of red paint for every 1/2 cup of blue paint to make 3 Gallons of purple (answered by Edwin McCravy,AnlytcPhil)

Please help me on a problem that I am stuck on. The problems states: collect exactly... (answered by checkley71)

recipe calls for 1 1/4 cups of mix 3 tbsp oil and 3/4 cup of water i need to divide this... (answered by ankor@dixie-net.com)

I have 2 math problems that I am stuck on. I would appreciate any help available. Thank... (answered by stanbon)

I need help with this word problem: A $6 bag of trail mix contains 3 cups of dried... (answered by ikleyn)

To make a batch of purple paint you mix 4 oz of blue paint for every 6 oz of red paint.... (answered by jndarrell)

Hello, this is the problem I'm stuck on. Given that the exact value of sin... (answered by Alan3354)

Given {{{ y=2cos(1/2)(0+3.14/4)+1}}} find Amplitude Number of cycles Horizontal... (answered by Alan3354)

I have been stuck on this problem and would appreciate any help I can get. The problem... (answered by MathLover1)