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20 Apr 2021, 07:15
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C
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The ratio of boys to girls in a room is 7 to 5. The room contains 312 children. How many more boys than girls are in the room?
A. 48
B. 50
C. 52
D. 56
E. 60
A. 48
B. 50
C. 52
D. 56
E. 60
20 Apr 2021, 08:18
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Bunuel
Let the number of boys =7x
let the number of girls = 5x
5x + 7x = 312
12x = 312
x = 26
So, number of boys = 7*26 = 182
number of girls = 5*26 = 130
Number of more boys = 182 - 130 = 52
20 Apr 2021, 12:18
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Bunuel
Since the ratio is 7:5, slice the population into 7 + 5 = 12 equal slices. Then 7 - 5 = 2 slices, out of the 12, would represent how many more boys there are than girls. Thus \(\frac{2}{12}*312 = \frac{1}{6}*(300 + 12) = 52\) is the answer.
Ans: C
