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Question: Jason, Katie and Leonard share some money. Jason gets 1/5 of the money. Katy and Leonard share the rest of the money in the ratio 17:3

Jason gives 45% of his share to his mum, he has £198 left. How much more money does Katy receive than Jason...


There is my answer and my workings. The thing is, you know when you work out something but you’re confused by how you even did it? Yeah, that’s my problem right now with how my answer is 100%=£360 Please tell me if I’m correct and how exactly I got my percentage. Thank you for your time on this horribly worded situation I have created.

2 Answers

4 votes

Final answer:

Jason's initial share was £360 before giving 45% to his mum. The total money shared was £1800. Katy receives £864 more than Jason.

Step-by-step explanation:

First, we need to find out how much money Jason initially received before he gave away 45% to his mum. Since £198 is 55% of his initial share (100% - 45% = 55%), we can find the full amount by calculating £198 ÷ 0.55. This gives us Jason's total share before he gave any money to his mum, which is £360.

Given that Jason gets 1/5 of the money, we multiply his share by 5 to find the total amount of money shared, which is £360 × 5 = £1800. Since Jason took his 1/5 share, the remaining 4/5 is shared between Katy and Leonard in the ratio 17:3. Hence, the combined share of Katy and Leonard is 17 + 3 = 20 parts of the remaining money.

To find out how much each part is worth, we divide the remaining money by 20. The remaining money is 4/5 × £1800 = £1440, so each part is worth £1440 ÷ 20 = £72.

Hence, Katy receives 17 parts × £72 = £1224, and Leonard receives 3 parts × £72 = £216. The difference in the amount received by Katy compared to Jason is £1224 - £360 = £864, so Katy receives £864 more than Jason.

User Mehrad
by
8.9k points
2 votes

Answer: 48

Step-by-step explanation:

User Victrnava
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8.1k points