Question

- At a party, there are a total of 28 adults. If x ladies
join the party, the ratio of the number of ladies to
that of gents will change from 3 : 4 to 5: 4. Find x.​

Answer 1

Question :- At a party, there are a total of 28 adults. If x ladies join the party, the ratio of the number of ladies to

that of gents will change from 3 : 4 to 5: 4. Find x. ?

Solution :-

=> initial ratio of ladies : gents = 3 : 4 .

So,

=> initial Total ladies in party = 28 × (3/7) = 12

=> initial Total gents in party = 28 - 12 = 16.

Now, after x more ladies join the party,

=> New ladies = 12 + x

=> gents = 16 .

we have given that, their ratio becomes 5:4 .

Hence,

=> (12+x) / 16 = 5/4

=> 4(12 + x) = 5 × 16

=> 48 + 4x = 80

=> 4x = 80 - 48

=> 4x = 32

=> x = (32/4)

=> x = 8 .

So, value of x is 8 is right Answer.