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Bottle X contains 10% acid and bottle Y contains 20% acid. In what ratio, of the quantity of bottle X to the quantity of bottle Y, do I need to mix the liquid from the two bottles if I want to create a mixture that is 16% acid?

 Mar 25, 2021
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Let us suppose  that  the total  amount we  wish to make is  100 liters

 

Then  let the  amt of liquid from the 15% bottle  = x  and the  amt from the 20% bottle  = 100  - x

 

So...we  have

 

.15x  + .20 (100  - x)  =   .16 (100)

 

.15x  +20 - .20x  =  16

 

-.05x  + .20  = 16

 

-.05x  = .16  -.20

 

-.05x  = -. 4

 

x  =  80

 

100 - x  = 20

 

X :  Y  =   80  ;  20  =   4 : 1

 

 

cool cool cool

 Mar 25, 2021

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