To find the number of boys and girls who took part in the quiz, let’s solve this step by step.
1. Define the total number of students:
The total number of students who participated in the quiz is given as 10.
2. Define the relationship between boys and girls:
It is mentioned that the number of girls is 4 more than the number of boys.
3. Set up the equations:
- Let the number of boys be [tex]\( b \)[/tex].
- The number of girls will then be [tex]\( b + 4 \)[/tex] (since there are 4 more girls than boys).
4. Formulate the equation:
- Since the total number of students is 10, we can write the equation as:
[tex]\[
\text{{number of boys}} + \text{{number of girls}} = 10
\][/tex]
- Substituting the expressions for boys and girls:
[tex]\[
b + (b + 4) = 10
\][/tex]
5. Solve the equation:
- Combine like terms:
[tex]\[
2b + 4 = 10
\][/tex]
- Subtract 4 from both sides to isolate the term with [tex]\( b \)[/tex]:
[tex]\[
2b = 6
\][/tex]
- Divide both sides by 2 to solve for [tex]\( b \)[/tex]:
[tex]\[
b = 3
\][/tex]
6. Determine the number of girls:
- Since the number of girls is [tex]\( b + 4 \)[/tex]:
[tex]\[
\text{{Number of girls}} = 3 + 4 = 7
\][/tex]
7. Conclusion:
- The number of boys who took part in the quiz is 3.
- The number of girls who took part in the quiz is 7.
Therefore, there are 3 boys and 7 girls who participated in the Mathematics quiz.
