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John made 60 ml of dragonfuit smoothie that is 30% dragonfruit. He wants to make a smoothie with 40% dragonfruit. How much more dragonfruit does he need?

 

Please explain as well. Thanks.

Guest May 16, 2017
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He needs to add  some quantity, x, of  100%  dragonfruit to the 60 ml of 30% mixture to  produce a quantity of (60 + x) ml  at 40%

 

Mathematically we have

 

 

60* .30   +   x * 1.00   =   (60 + x) * .40       simplify

 

18   +   x   =   24  +  .40x      subtract 18 and .40x  from both sides

 

.60x  =  6     divide both sides by .60

 

x  =  10 ml   of 100% dragonfruit need to be added

 

 

cool cool cool

CPhill  May 16, 2017

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