Question

Jessica has 40% more stamps than Evelyn. Gerald has 20% of the number of stamps Jessica has. What is the ratio of the number of stamps Evelyn has to the number of stamps Gerald has?
Express your answer in simplest form

Answer 1

Evelyn's stamps = E

Jessica's stamps = 1.4E (40% more than Evelyn's)

Gerald's stamps = 0.20 * 1.4E = 0.28E (20% of what Jessica has)

The ratio of Evelyn's stamps to Gerald's stamps:

E / (0.28E)

Now, cancel out the common factor of E:

E / (0.28E) = 1 / 0.28

Now, simplify the right side:

1 / 0.28 = 25/7

So, the ratio is 25/7.