A fine-art paints company creates custom paint mixtures according to a

Question

A fine-art paints company creates custom paint mixtures according to artists' specifications. An artist has placed an order with the company for 300 milliliters (ml) of each of two different custom mixtures—Mixtures 1 and 2. By volume, Mixture 1 is 1/6 white paint, 1/3 magenta paint, and 1/2 ultramarine paint. And by volume, Mixture 2 is 1/6 ultramarine paint, 1/3 cyan paint, and 1/2 magenta paint.

Assuming the company uses only as much of each color of paint as is necessary to fill the order, the ratio of the quantity of magenta paint to the quantity of ultramarine paint needed to fill this order is __ M ___ to ___ U ___ .

Select for M and for U the values for magenta and ultramarine, respectively, that complete the statement so that it is accurate based on the information provided. Make only two selections, one in each column.

jabhatta2 · Answer

Mixture 1 for white paint | magenta paint | ultramarine paint is 1x | 2x and 3x

6x = 300 ml 
x = 50

hence white paint | magenta paint | ultramarine paint is 50 ml | 100 ml | 150 ml

Simirlarly, 
Mixture 2 for ultramarine paint | cyan paint | magenta paint is 1y | 2y | 3y

6y = 300 ml 
y = 50

hence white paint | magenta paint | ultramarine paint is 50 ml | 100 ml | 150 ml

Hence total magenta : total ultramarine paint is 250 ml / 200 ml or 5/4

hence Magenta | ultramarine is 5z | 4z

The only answer pair that make sense is 
-- Ultramarine is 4 
-- Magenta is 5

KrishnanTN · Answer

For M1 - Whit : Magenta: Ultra: Cyan = x/6+x/3+x/2+0 = 300
Solving for x - we get 
Whit : Magenta: Ultra: Cyan = 50+100+150 + 0 = 300

For M2 - Whit : Magenta: Ultra: Cyan = 0+x/2+x/6+x/3 = 300
Solving for x - we get 
Whit : Magenta: Ultra: Cyan = 0+150+50 + 100 = 300

Magenta (M1 + M2)/ Ultra (M1 + M2) = 250/200 = 5/4

M: U = 5:4

satish_sahoo · Answer

Hi  Bunuel

The tag should be Math related here, I think.

Bunuel · Answer

Edited the tag. Thank you!

A fine-art paints company creates custom paint mixtures according to a

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