# Thread: "Cans of Paint" Word Problem

1. ## "Cans of Paint" Word Problem

Hey guys, this problem has been giving me a headache for the last hour, and its the last problem I need to do before my homework is due in an hour and a half! Help!

I have two cans of paint. Can A has 9 parts of blue paint to one part of yellow paint. Can B is 20 percent blue paint and the rest is yellow paint. How much paint should I use from each can to obtain 2 liters of paint which is half blue and half yellow.

amount of can A= ___________________ liters
amount of can B= ___________________ liters

2. The farthest I keep getting is that A + B= 2L, but I have no idea what other equation to set up, I've tried a bunch.

3. Originally Posted by Togechu64
Hey guys, this problem has been giving me a headache for the last hour, and its the last problem I need to do before my homework is due in an hour and a half! Help!

I have two cans of paint. Can A has 9 parts of blue paint to one part of yellow paint. Can B is 20 percent blue paint and the rest is yellow paint. How much paint should I use from each can to obtain 2 liters of paint which is half blue and half yellow.

amount of can A= ___________________ liters
amount of can B= ___________________ liters
1. Can A: $\displaystyle \frac9{10}$ blue + $\displaystyle \frac1{10}$ yellow

Can B: $\displaystyle \frac2{10}$ blue + $\displaystyle \frac8{10}$ yellow

2. Let x denote the amount of cans A and y the amount of cans B. Of each color you need exactly 1 litre.

3. Solve the system of equations for x, y:

$\displaystyle \left|\begin{array}{rcl} \frac{9}{10} x + \frac{2}{10} y &=& 1 {\color{blue}\bold{blue}}\\ \frac{1}{10} x + \frac{8}{10} y &=& 1 {\color{yellow}\bold{yellow}}\end{array}\right.$

Spoiler:
I've got $\displaystyle x = \frac67~\vee~y=\frac87$

4. PERFECT!!! I worked it out and got exactly the right answer, thank you so much, you're an incredible life saver! I've made sure to write down your explanation so I have a practice problem to review for the midterm, thank you very much again for all your help!!!

,
,
,

,

,

,

,

,

,

,

,

,

,

# the total amount of paint used for all four walls was redistributed so that the same amount of paint was used on each wall, how much paint would be used on each wall?All measurements are rounded to the nearest \frac 12 21â€‹ start fraction, 1, divided by,

Click on a term to search for related topics.