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Let’s tackle a problem involving sharing money in a ratio based on people’s ages. This also includes a follow-up calculation involving fractions.
The Problem:
Melissa (13), Becky (12), and Daniel (10) share £28 in the ratio of their ages. Becky then gives a third of her share to her mother. How much should Becky have left?
1. Determine the Ratio
The ratio of their ages is 13 : 12 : 10
2. Calculate Total Shares
Add the numbers in the ratio: 13 + 12 + 10 = 35 shares
3. Calculate the Value of One Share
Divide the total amount of money by the total number of shares: £28 / 35 shares = £0.80/share
4. Calculate Becky’s Initial Share
Becky’s share is 12 shares, so her initial amount is: 12 shares * £0.80/share = £9.60
5. Calculate How Much Becky Gives Away
Becky gives a third of her share to her mother. A third of £9.60 is: (£9.60) / 3 = £3.20
6. Calculate Becky’s Remaining Amount
Subtract the amount Becky gave away from her initial share: £9.60 – £3.20 = £6.40
Answer:
Becky should now have £6.40.
If you need extra help with these types of ratio and fraction problems, a Foundation GCSE Maths Tutor can provide the support and guidance you need.
Key Takeaways:
- Use the given information to establish the ratio.
- Calculate the total shares and the value of one share.
- Determine each person’s initial share.
- Perform additional calculations as required by the problem (in this case, finding a fraction of Becky’s share).
This problem combines ratios with fractions. Practice similar problems to build your skills!
