I need help with a mixture problem.

Question

Al Gee had a 40% algicide solution and a 70% algicide solution. How much of each should he use to make 100 g of a 52% solution? 

Answer 1

Hi Tionne,

 

Let x = the amount of 70% solution

 

(100-x) = the amount of the 40% solution

 

(.7x + .4(100-x))/100 = .52

 

.7x + 40 -.4x = 52    (multiply both sides by 100

 

.3x = 12                   (combine like terms

 

x = 40                      (divide by .3 on both sides

 

so we need 40 g of the 70% solution

 

and we need 60 g of the 40% solution

 

Hope this helps