Question

Vivian combined different amounts of white paint, blue paint, and green paint to make 145 milliliters (ml) of paint of a new shade. The amount of white paint was x ml. The amount of blue paint was 10 ml less than twice the amount of white paint, and the amount of green paint was half the amount of blue paint. This is represented in the equation below:

x + (2x − 10) + one half (2x − 10) = 145

What was the difference in the amounts of white paint and blue paint Vivian combined?

30 ml

35 ml

40 ml

45 ml

Answer 1

how is this middle school math

Answer 2

The difference in the amounts of white paint and blue paint is 30 ml

Explanation:

x+2x−10+0.5(2x−10)=145

x+2x+−10+(0.5)(2x)+(0.5)(−10)=145

x+2x+−10+x+−5=145

(x+2x+x)+(−10+−5)=145

4x + −15=145

4x−15=145

4x=160

x=40

white paint = 40 ml

blue paint = (2x40-10)

blue paint = 80-10

blue paint = 70ml

difference = 70-40

difference = 30 ml