Question

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?

a) 11×18+g×0=(11+g)×12
b) 11×0+g×18=(11+g)×12
c) 11×12+g×18=(11+g)×0
d) 11×12+g×0=(11+g)×18

Answer 1

Meryl should use the equation 11×18+g×0=(11+g)×12, where the percentage values have been converted to decimal form, to find the number of gallons of water to add to the solution.

Step-by-step explanation:

To find the number of gallons of water g that Meryl should add to her 11 gallons of an 18% detergent solution to obtain a 12% detergent solution, we can set up an equation. We start from the fact that the amount of detergent before adding water is the same as the amount of detergent after adding water. This gives us the equation:

11 × 18% + g × 0% = (11 + g) × 12%

This simplifies to:

11 × 0.18 = (11 + g) × 0.12

Option (a), which is given as 11×18+g×0=(11+g)×12, is the correct equation after converting percentages into their decimal forms.