Multiple choice general knowledge math & puzzles

A paint company mixes it's paint with water to create more paint per gallon. They currently have ten gallon jugs which contain 10% water. How much water must they add to create a 80/20 mix of paint to water?

  1. 1

  2. 1.25

  3. 1.5

  4. 1.75
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Starting with 10 gallons at 10% water: 1 gallon water, 9 gallons paint. After adding x gallons water: total water = 1 + x, total volume = 10 + x. Need (1+x)/(10+x) = 0.20. Solve: 1+x = 2 + 0.2x → 0.8x = 1 → x = 1.25. Adding 1.25 gallons creates the 80/20 paint-to-water ratio.

AI explanation

To solve this problem, we can set up a proportion to find the amount of water needed to create the desired 80/20 mix.

Let's assume that x represents the amount of water (in gallons) that needs to be added.

We can set up the proportion as follows:

(10 gallons of water + x gallons of water) / (10 gallons of paint + x gallons of water) = 20% (or 0.2)

Simplifying the proportion, we get:

(10 + x) / (10 + x) = 0.2

To solve for x, we can cross-multiply:

0.2(10 + x) = 10 + x

2 + 0.2x = 10 + x

0.8x = 8

x = 10

Therefore, the correct answer is B) 1.25 gallons.

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