SOLUTION: Over the past week, 34 baby boys were born at the hospital. This was 54% of all babies born. How many girls were born over the past week? (Enter numeric value only. If rounding is

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: Over the past week, 34 baby boys were born at the hospital. This was 54% of all babies born. How many girls were born over the past week? (Enter numeric value only. If rounding is       Log On


   

Question 1144144: Over the past week, 34 baby boys were born at the hospital. This was 54% of all babies born. How many girls were born over the past week? (Enter numeric value only. If rounding is necessary, round to the nearest whole number.)
Answer by math_helper(2461) About Me  (Show Source):
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Let G = number of girls

then the total number of babies born was G + 34, and we are given 54% (0.54) of that total is 34:



0.54(G + 34) = 34



Divide both sides by 0.54:

G+34 = (34/0.54)



Subtract 34 from each side:

G = (34/0.54) - 34 = 29     (after rounding)



Check:

34/ (34+29) = 34/63 = (approx) 0.5396 or 54% when rounded.