4.Mohammed and audu are to share a sum of money in the ratio 1:3. If audu gets #24.00, how much does Mohammed get

1 answer

Let's set up an equation to represent the ratio of money that Mohammed and Audu will receive:

Let x be the amount Mohammed will receive.

According to the ratio 1:3, the total parts in the ratio is 1+3 = 4.

So, Mohammed's share is 1 part out of 4 parts, and Audu's share is 3 parts out of 4 parts.

Therefore, Audu's share = (3/4) * Total amount = #24.00

Solving for the total amount:
(3/4) * Total amount = #24.00
Total amount = #24.00 / (3/4) = #32.00

Since Mohammed's share is 1 part out of 4 parts:
Mohammed's share = (1/4) * Total amount = (1/4) * #32.00 = #8.00

Therefore, Mohammed will receive #8.00.