A paint mixture was formed by mixing exactly 3 colors of paint. By volume, the mixture was x% blue paint, y% green paint, and z% red paint. If exactly 1 gallon of blue paint and 3 gallons of red paint were used, how many gallons of green paint were used

Question

Alexus Myers

Mathematics

1 January, 05:06

A paint mixture was formed by mixing exactly 3 colors of paint. By volume, the mixture was x% blue paint, y% green paint, and z% red paint. If exactly 1 gallon of blue paint and 3 gallons of red paint were used, how many gallons of green paint were used

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Answers (1)

Know the Answer?

Destiney Aguirre · Answer 1

Both statements are sufficient to answer the question

Step-by-step explanation:

Given:

- The paint mixture has following proportions:

Total volume of paint = T

Blue: x*T / 100

Green: y*T/100

Red: z*T/100

Find:

Statement 1: x = y

Statement: z = 60

Which of the above statement is sufficient to calculate the amount of green paint used

Solution:

Statement 1:

- The amount of blue paint used is:

1 gallon = x*T / 100

- x = y,

1 gallon = y*T / 100

Hence,

Amount of green paint used is 1 gallon

- The statement is sufficient

Statement 2:

- The amount of red paint used is:

3 gallon = z*T / 100

T = 300 / z = 300 / 60 = 5 gallons

T = R + B + G

G = T - R - B

G = 5 - 3 - 1

G = 1 gallons

Hence,

Amount of green paint used is 1 gallon

- The statement is sufficient