# Diluted Paint

## Outline Mathematics

Word Problems

This is problem 17 from AMC 8, 2007.

A mixture of 30 liters of paint is 25% red tint, 30% yellow tint and 45% water. Five liters of yellow tint are added to the original mixture. What is the percent of yellow tint in the new mixture. (Choose from 25, 35, 40, 45, 50).

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### Solution

Since the yellow tint is at the heart of this problem, let's first find out how much of the yellow tint were there at the outset. 30 percent of 30 liters equals 9 liters. The addition of 5 liters of the yellow tint had a double effect. First of all the amount of the yellow tint grew to

14 / 35,9,5,14,30,35,25 × 100% = 40%.

As might have been expected, the percentage of the yellow tint grew from 35% percent to 40%.

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