Sam and Grace share a sum of money in the ratio 9:10Grace got £5 more than Sam.How much did Grace receive?
Question
Sam and Grace share a sum of money in the ratio 9:10
Grace got £5 more than Sam.
How much did Grace receive?
Solution
To solve this problem, we need to understand that the difference in the ratio (10-9 = 1) represents the £5 difference in the amount of money that Grace received compared to Sam.
- Set up the ratio: Sam's share : Grace's share = 9 : 10
- Understand that the difference in the ratio represents the £5 difference in what Grace received. So, 1 part of the ratio = £5
- To find out how much Grace received, multiply her part of the ratio (10) by the value of one part (£5). So, 10 * £5 = £50
So, Grace received £50.
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