Final answer:
To determine Daniel's share of £450 in a 2:5 ratio, divide the total amount by the sum of the ratio parts (7) to get the value of one part, and then multiply by 2. Daniel gets approximately £128.57.
Step-by-step explanation:
If £450 is shared in ratio 2:5 between Daniel and Catherine, we need to work out how much money Daniel receives out of the total. The ratio signifies that for every 2 parts Daniel gets, Catherine gets 5 parts. So, the total number of parts is 2 (for Daniel) + 5 (for Catherine) = 7 parts.
To find the value of one part, we divide the total amount of money (£450) by the total number of parts (7):
£450 ÷ 7 = £64.29 (rounded to two decimal places)
Daniel's share is 2 parts of this ratio. So, we multiply the value of one part by 2 to find out how much Daniel gets:
£64.29 x 2 = £128.57 (rounded to two decimal places)
Therefore, Daniel gets approximately £128.57.