At a party, there are a total of 56 people. If ‘m’ men join the party, the ratio of the number of ladies to that of men will change from 4 : 3 to 4 : 5. Find m.
Explanation:
Number of ladies at the party do not change.
Initial number of ladies = (4/7) × 56 = 32.
Initial number of men = 56 - 32 - 24.
After x men join,
ladiesmen=45
the number of men would be 5/4 × (Number of ladies) = 5/4 × 32 = 40
∴ the number of men joining (m) = 40 – 24 = 16.
Hence, 16.
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