Question

Kofi and Isabel are collecting conkers. For every 4 conkers Kofi collects, Isabel collects 5. Between them they have collected 126 conkers. How many conkers has Isabel collected?

Answer 1

Let's set up a ratio to represent the number of conkers collected by Kofi and Isabel.

For every 4 conkers Kofi collects, Isabel collects 5. So the ratio of conkers collected by Kofi to conkers collected by Isabel is 4:5.

Let x be the multiplier for the ratio. So Kofi has collected 4x conkers and Isabel has collected 5x conkers.

According to the problem, the total number of conkers collected by Kofi and Isabel is 126. So we can write the equation as:

4x + 5x = 126
9x = 126
x = 14

Therefore, Isabel has collected 5(14) = 70 conkers.