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Anton [14]
3 years ago
10

Meryl needs to add enough water to 11 gallons of an 18% detergent solution to make a 12% detergent solution. Which equation can

she use to find g, the number of gallons of water she should add?
Mathematics
2 answers:
LenKa [72]3 years ago
7 0
A suitable equation will equate the quantity of detergent both before and after the water is added to the solution.

the amount of detergent in 11 gal of 18% solution is the same as the amount of detergent in the 12% solution (after g gallons of water are added)
  .18*11 = .12*(11+g)
Tems11 [23]3 years ago
7 0

Answer:

\frac{1.98}{11+g}=\frac{12}{100}

Step-by-step explanation:

Given,

Total quantity of solution = 11 gallons

Initial detergent in the solution = 18 % of 11 gallons

=\frac{18\times 11}{100}

=\frac{198}{100}

=1.98\text{ gallons}

Now, here g represents the number of gallons of water she should add to make 12 % detergent solution,

Final quantity of solution = ( 11 + g ) gallons

Thus, we can write,

The part of detergent in (11+g) gallons of water = The final percentage of detergent

\frac{1.98}{11+g}=\frac{12}{100}

Which is the required equation.

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