Question

In a quiz competition, number of students participated from school A and B are in the ratio 6:7 respectively and 88 male students participated from school B. If respective ratio of Male to Female students partcipated from school B is 4:3, then how many students participated from school B is 4:3, then how many students partcipated from school A? * + 0 126
132
138
198​

Answer 1

132 i sthe answer pls mark me as brainliest

Answer 2

Given:

Ratio of students from school A to school B who participated in the competition = 6:7

No. of male students from school B = 88

Ratio of male to female students from school B = 4:3

To find:

The no. of students that participated from school A.

Solution:

The ratio of no. of students that participated in the competition from school A and school B is:

$A:B=6:7$

$\frac{A}{B}=\frac{6}{7}$

The ratio of males to females from school B is given as:

$\frac{M_{B}}{F_{B}} =\frac{4}{3}$

where, $M_{B}$ and $F_{B}$ are the no. of males and females that participated in the competition from school B respectively.

The no. of males from school B who participated in the competition are given as 88.

Substituting 88 in the ratio of males to females from school B.

$\frac{88}{F_{B}}=\frac{4}{3}$

On cross-multiplying,

$F_{B}=\frac{88*3}{4}$

$F_{B}=22*3=66$

Hence, there are 66 females from school B who have participated in the competition.

Thus, the total no. of students from school B is the sum of no. of males and no. of females from school B.

Total students from school B = No. of males + No. of females

$Total=M_{B}+F_{B}$

$Total=88+66$

∴ $Total = 154$

Thus, 154 students from school B participated in the competition.

Substitute this value in the ratio of no. of students from school A to school B  to determine the no. of students from school A who participated in the competition.

$\frac{A}{B}=\frac{6}{7}$

where $A$ is the no. of students from school A and $B$ is the no. of students from school B who participated in the competition.

$\frac{A}{154}=\frac{6}{7}$

$A=154*\frac{6}{7}$

$A=22*6=132$

Hence, 132 students from school A participated in the quiz competition. Therefore, the second option is the correct answer.

132 students from school A participated in the quiz competition and the second option is the correct answer.