Martha, Bess and Polly share some money in the ratio 3:4:6. Bess gets £76. Determinehow much money they shared

Step 1: Understand the ratio

The ratio of the money shared between Martha, Bess, and Polly is 3:4:6. This means for every 3 parts Martha gets, Bess gets 4 parts and Polly gets 6 parts.

Step 2: Calculate the total parts

The total parts are 3 (Martha) + 4 (Bess) + 6 (Polly) = 13 parts.

Step 3: Determine the value of each part

We know that Bess gets £76 and her share is 4 parts. Therefore, each part is worth £76 / 4 = £19.

Step 4: Calculate the total amount of money shared

Since the total parts are 13 and each part is worth £19, the total amount of money shared is 13 parts * £19/part = £247.