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AleksandrR [38]
3 years ago
10

Eli wants to combine 0.5 gallon of a 10% acid solution with some 35% acid solution to make a 15% acid solution. How much of the

35% acid solution should Eli add? gallon
Mathematics
2 answers:
emmainna [20.7K]3 years ago
8 0

Answer:

<h3>              0.125 galon of 35% acid solution</h3>

Step-by-step explanation:

0.5 gallon of a 10% acid solution

10%•0.5 = 0.05 gallon of acid in that solution

x gallon of 35% acid solution

35%•x = 0.35x  gallons of acid in that solution

0.05 + 0.35x  total of gallons of acid in both solutions

(0.5+x) gallons of 15% acid solution

15%(0.5+x) = 0.15(0.5+x)  gallons of acid in that solution

the amount of gallons of acid didn't change after mixing, so:

0.05 + 0.35x = 0.15(0.5 + x)

0.05 + 0.35x = 0.075 + 0.15x

0.35x - 0.15x = 0.075  - 0.05

0.2x = 0.025

 ×5         ×5  

x = 0.125

makkiz [27]3 years ago
3 0

Answer:

0.125

Step-by-step explanation:

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