10 students of Class X took part in a Mathematics quiz. If the number of girls is 4more than the number of boys, find the number of boys and girls who took part inthe quiz
Question
10 students of Class X took part in a Mathematics quiz. If the number of girls is 4more than the number of boys, find the number of boys and girls who took part inthe quiz
Solution
Let's denote the number of boys as 'b'. According to the problem, the number of girls is 4 more than the number of boys, so we can denote the number of girls as 'b + 4'.
The total number of students is given as 10. So, we can set up the following equation to represent this situation:
b (boys) + b + 4 (girls) = 10
Solving this equation will give us the number of boys and girls. Let's do it:
2b + 4 = 10 (combine like terms)
2b = 10 - 4 (subtract 4 from both sides)
2b = 6
b = 6 / 2 (divide both sides by 2)
b = 3
So, there are 3 boys. And since the number of girls is 4 more than the number of boys, there are 3 + 4 = 7 girls.
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