How Many Gallons?

Question

How many gallons of 15% hydrogen peroxide solution must be mixed with 10 gallons of 4% hydrogen peroxide solution to get a 10% hydrogen peroxide solution?

Answer 1

Hi Destiny,

 

The final solution is a 10% solution

 

Let x = number of gallons of the 15% solution

 

x + 10 = the total gallons of the final solution since we know there are 10 gallons of the 4% solution

 

and

 

(.15x + .04(10))/(x+10) = .1

 

lets simplify  by multiply both side by 10

 

(1.5x + 4)/(x+10) = 1

 

now multiply by (x+10)

 

1.5x + 4 = x + 10

 

and

 

.5x = 6

 

x = 12   (number of gallons of the 15% solution

 

and if you use these numbers back in the first equation you will see that it checks out

 

Hope this helps