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? Original (Gallons) Added (Gallons) New (Gallons) Amount of Detergent 1 point 9 8 0 Amount of Solution 11 g
Answer
A
the fraction with numerator 1 point 9 8 and denominator 11 plus g minus 12 over 100 is equal to 1
B
the fraction with numerator 11 plus g and denominator 1 point 9 8 is equal to 12 over 100
C
the fraction with numerator 1 point 9 8 and denominator 11 plus g plus 12 over 100 is equal to 1
D
the fraction with numerator 1 point 9 8 and denominator 11 plus g is equal to 12 over 100
Explanation
The original solution contains 18% of 11 gallons, so the amount of detergent is 0.18 × 11 = 1.98 gallons. Adding water does not change that amount; it only increases the total solution to 11 + g gallons. For the new solution to be 12% detergent, the equation is 1.98/(11 + g) = 12/100, which is choice D.
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