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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 2:13 ratio instead. Fortunately, she hasa lot of yellow paint. How many gallons of yellow paint should Melanie add to themixture to achieve the 2:13 ratio?

 Jan 11, 2021
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4 gallons 0f  3:7     means  4 * 7/10 is yellow

 

4 * 7/10   +   x    =   13/15 ( 4+x)

28/10      + x    = 52/15 + 13/15 x

             (84-104)/30             =     -  2/15 x

                20/30 = 2/15 x

                        x = 5 gallons of yellow to add

 Jan 11, 2021

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