Final answer:
To divide £35 into the ratio 3:4, find the total number of parts in the ratio, which is 7. Each part is worth £5. The respective amounts are £15 for the first part and £20 for the second part.
Step-by-step explanation:
To divide £35 into the ratio 3:4, you need to find the total number of parts in the ratio, which is 3 + 4 = 7. Each part is worth £35/7 = £5. Now, multiply this value by the ratio to find the respective amounts: £5 x 3 = £15 for the first part, and £5 x 4 = £20 for the second part.
Step 1: Determine the ratio's total number of components.
There are seven parts in the ratio 3:4.
Step 2: Find out how much each part is worth.
Divide the total amount by the total number of parts to determine the value of each one:
£35 / 7 = £5
Step 3: Divide the total amount equally among the components in accordance with the ratio.
We are able to divide the £35 as follows because the ratio is 3:1:4:
4 parts x £5/part = £20; 3 parts x £5/part = £15