A shade of green paint is made by mixing 2 cups of yellow with 3.5 cups of blue.
Will a mixture that is 3 cups of yellow and 4.5 cups
of blue be more blue, more yellow, or the same shade
of green?

Step-by-step explanation:

2 (yellow) / 3.5 (blue)

that means, out of 2+3.5 = 5.5 units 2 are yellow, and 3.5 units are blue.

now in a 3 / 4.5 ratio we have 3+4.5 = 7.5 units, where 3 units are yellow and 4.5 units are blue.

let's bring both ratios to the same denominator (bottom part of the fraction).

if we multiply 3.5 by 2 we get 7. and multiplying 4.5 by 2 gives us 9.

and the smallest common multiple of 7 and 9 is 63.

so, let's bring both fraction to .../63.

3.5 × 2 × 9 = 63

so, the ratio is

2×2×9/63 = 36/63

and

4.5 × 2 × 7 = 63

so, that ratio is then

3 × 2 × 7 / 63 = 42/63

now we can see clearly that the first ratio

2/3.5 = 36/63 has fewer units of yellow in the mix than the second ratio

3/4.5 = 42/63.

so, the second mixture is more yellow.

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answer: ouch. thats difficult

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