Question

the students in three batches at a university are in the ratio of 2:3:5. if 20students are increased in each batch then the ratio changes 4:5:7 what is the total number of students in the three batches​

Answer 1

Answer:

Step-by-step explanation:

Given data:

• Ratio of the students at a university in three batches is $2:3:5$.

• Ratio of the students after increasing $20$ students $=4:5:7$

• Let the number of students in three batches be $2x,3x,5x$

• Ratio of students after increasing $20$, students $2x+20:3x+20:5x+20$

Which is equal to $4:5:7$

• According to the given question

$2x+20+3x+20+5x+20=4x+5x+7x$

$\Rightarrow 10x+60=16x$

$\Rightarrow 16x-10x=60$

$\Rightarrow 6x=60$

$\Rightarrow x=10$

• Therefore, the number of students in three batches are

$2x=2\times10=20$

$3x=3\times10=30$

$5x=5\times10=50$

• Now, total number of students in three batches $=20+30+50=100$

Hence, the total number of students in three batches $=100$