Question

The ratio of number of ladies and gentlemen in a party is 3:4. If eight ladies join the party, the ratio of ladies and gentlemen would becomes 5:4. Find the number of gentlemen in the party.
Answer is 16

Answer 1

Answer:

hope this will help you

Answer 2

Answer:

16

Step-by-step explanation:

The ratio of number of ladies and gentlemen in a party is 3:4.

Let the ratio be x

Number of ladies = 3x

Number of gentlemen = 4x

Eight ladies join the party

Number of ladies = 3x+8

The ratio of ladies and gentlemen would becomes 5:4.

So, A.T.Q

$\frac{3x+8}{4x}=\frac{5}{4}$

$12x+32=20x$

$32=8x$

$x=4$

Number of gentlemen = $4x = 4 \times 4 = 16$

Hence the number of gentlemen in the party is 16