The ratio of the number of men to the number of women on a bus was 2 : 3. At a bus stop, 4 women got off and the ratio became 4 : 5. A) How many men were on the bus? B) How many women were on the bus in the end?

Question

Ernesto

Mathematics

4 April, 23:12

The ratio of the number of men to the number of women on a bus was 2 : 3. At a bus stop, 4 women got off and the ratio became 4 : 5. A) How many men were on the bus? B) How many women were on the bus in the end?

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Mckenna · Answer 1

We have m / w = 2 / 3;

Then, m / (w - 4) = 4 / 5;

m = 2w / 3 and 5m = 4w - 16;

5 x (2w / 3) = 4w - 16;

10w / 3 = 4w - 16;

10w = 12w - 48;

2w = 48;

w = 24 (woman were on the bus in the beginning);

A) m = (2 x 24) / 3 = 16 (men were on the bus);

B) 24 + 4 = 28 woman were on the bus in the end;