There are 45 students in a class. Rs.39 is distributed among them so that each boy gets 100p and each girl gets 50p. Find the number of boys and girl in that class Group of answer choices 25,20 12,33 33,12 23,22
Question
There are 45 students in a class. Rs.39 is distributed among them so that each boy gets 100p and each girl gets 50p. Find the number of boys and girl in that class
Group of answer choices
25,20
12,33
33,12
23,22
Solution
Let's denote the number of boys as B and the number of girls as G.
From the problem, we know two things:
-
B + G = 45 (the total number of students is 45)
-
100B + 50G = 3900 (the total amount of money distributed is Rs.39, but since we're dealing with paise, we need to convert it to 3900 paise)
Now we can solve these equations step by step.
First, let's express G from the first equation:
G = 45 - B
Now we can substitute G in the second equation:
100B + 50(45 - B) = 3900
Solving this equation gives:
100B + 2250 - 50B = 3900
50B = 3900 - 2250
50B = 1650
B = 1650 / 50
B = 33
Substitute B = 33 into the first equation:
33 + G = 45
G = 45 - 33
G = 12
So, there are 33 boys and 12 girls in the class. The correct answer is 33,12.
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