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Melanie has a 4 gallon mixture of “homemade” orange paint mixed with red andyellow paint at a 3:7 ratio. However, the orange is a little bit too red to her liking,and she realized that she actually wanted a 2:5 ratio instead. Fortunately, she hasa lot of yellow paint. How many gallons of yellow paint should Melanie add to themixture to achieve the 2:5 ratio?

 Jun 18, 2021
 #1
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7 out of (3+7)  is yellow     7/10

     Her new mixture will be  5  out of 7    or  5/7 yellow

 

7/10 ( 4 gal)     +   y gallons =    5/7 ( 4+y)

28/10

28/10    + y = 20/7 + 5/7 y

196/70   + y = 200/70 + 50/70 y

-4/70 = -20/70 y

y = 4/20 = 1/5 gallon

 Jun 19, 2021

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