<p>PAINT FORMULA</p>
<p>White: 3/5 gallon</p>
<p>Red: 1/4 gallon</p>
<p>Yellow: 1/3 gallon</p>
<p>A paint store makes peach pant according to the formula above. The number of gallons of white and yellow paint used in a batch of peach paint are always each an integer. If the store owner wants to amke the smallest batch of peach paint possible, how many gallons of red are needed?</p>
<p>The answer is 3.75. Someone PLEASE EXPLAIN how to arise at that answer.</p>
<p>hmmm not sure how I can arise at that answer, but I’ll try to arrive at it</p>
<p>the first thing I did was since yellow and white must both be in integers, I looked for the LCD of 5 and 3, which is 15.</p>
<p>if we use 9 gallons of white and 5 gallons of yellow, we’d still be satisfying the ratio–but this doesn’t really matter.</p>
<p>since 15 is the least amount that the guy can make, the amount of red paint needed is 1/4th of 15, which is 3.75</p>
<p>The gallons of white and yellow paint used in the paint are always each an integer. Thus, you find out the lowest factor you can multiply both fractions by to get integers. The lowest number you can multiply both 3/5 and 1/3 by to get an integer is 15 (you get 9 and 5 gallons). Then you multiply 15 by the 1/4 gallon to see how much red paint you use. The answer is 15/4 or 3.75.</p>
<p>THANKS ALOT for both answers!</p>