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29 votes
29 votes
Can someone please help me figure out this math problem? I don't understand how they're wanting it to be worked out.

Can someone please help me figure out this math problem? I don't understand how they-example-1
User Zlatan
by
2.4k points

1 Answer

20 votes
20 votes

We will have the following:

R 60 Cups

B 20 Cups

Y 30 Cups

O = 5Y:3R

P = 7R:2B

Here R, B, Y, O & P are red, blue, yellow, orange, and purple respectively.

Now, we proceed as follows:


5Y+3R=O

and:


7R+2B=P
R+B+Y\le110

We will also have:

35/3Y:7R:2B [This is the proportional relationship of the base colors at any given time under the constraints of the mixing of colors].

35/3Y + 7R + 2B

This means that for each cup of yellow paint we will be able to use 1/2 cup to mix.

Now, we solve the system:

R B Y

7 : 2 : 35/3 = 62/3

*v1 = (110)/(62/3) = 165/31

**v2 =

User David Bradshaw
by
2.9k points