OEWe are given that the girls are more than boys in a class. Each boy collected 5 and
each girl collected 3 flowers. A total of 46 flowers were collected.
We have to find the number of girls in the class.
Letโs assume there are x girls and y boys in the class such that x > y.
According to the question,
3๐ฅ + 5๐ฆ = 46 (eqn.1)
Since, the number of boys and girls has to be a positive integer value and options are
given for the number of girls so we can check which answer choice gives me a
positive integer value for the number of boys in the class.
A. 6
If ๐ฅ = 6 then from equation 1 we get,
3 ร 6 + 5๐ฆ = 46
i.e. 18 + 5๐ฆ = 46
i.e. 5๐ฆ = 28
i.e. ๐ฆ =28/5
which is not an integer.
Hence, A is not the answer.
B. 10
If ๐ฅ = 10 then from equation 1 we get,
30 + 5๐ฆ = 46
i.e. 5๐ฆ = 16
i.e. ๐ฆ =16/5
which is not an integer.
Hence, B is not the answer.
C. 12
If ๐ฅ = 12 then from equation 1 we get,
36 + 5๐ฆ = 46
i.e. 5๐ฆ = 10
i.e. ๐ฆ = 2 which is a positive integer.
Hence, C is the answer.
D. 14
If ๐ฅ = 14 then from equation 1 we get,
42 + 5๐ฆ = 46
i.e. 5๐ฆ = 4
i.e. ๐ฆ =4/5
which is not an integer.
Hence, D is not the answer.
Ans. (C)
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