Darryl wants to add enough water to 8 gallons of a 10% bleach solution to make a 5% bleach solution. Which equation can he use to find x, the number of gallons of water he should add? Original (Gallons) Added (Gallons) New (Gallons) Amount of Bleach 0 point 8 0 0 point 8 Amount of Solution 8 x 8 plus x
Answer
A
the fraction with numerator 0 point 8 and denominator 8 plus x is equal to 100 fifths
B
the fraction with numerator 0 point 8 and denominator 8 plus x divided by 5 over 100 is equal to 1
C
the fraction with numerator 0 point 8 and denominator 8 plus x is equal to 5 over 100
D
open paren the fraction with numerator 0 point 8 and denominator 8 plus x close paren times open paren 5 over 100 close paren is equal to 1
Explanation
The amount of bleach stays the same when Darryl adds water: 10% of 8 gallons is 0.8 gallons of bleach. After adding x gallons of water, the total solution is 8 + x gallons, and its bleach concentration should be 5%, or 5/100. So the equation is 0.8/(8 + x) = 5/100, which is choice C.
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