Answer:
Ben and Zoe had a total of £40 together.
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Step-by-step explanation:
To find out how much money Ben and Zoe had together, we first need to determine how much money each of them had individually.
The ratio given is 3:5, which means for every 3 units of money Ben has, Zoe has 5 units. Let's assume that Ben has 3x units of money. Then, Zoe would have 5x units of money.
According to the question, Zoe ended up with £10 more than Ben. This means that the difference between their amounts of money is £10. So, we can set up the following equation:
5x - 3x = £10
Simplifying the equation, we have:
2x = £10
To find the value of x, we can divide both sides of the equation by 2:
x = £10 / 2 = £5
Now that we know the value of x, we can find out how much money each of them had individually:
Ben: 3x = 3 * £5 = £15
Zoe: 5x = 5 * £5 = £25
Therefore, Ben had £15 and Zoe had £25. To find out how much they had together, we add their amounts:
£15 + £25 = £40
So, Ben and Zoe had a total of £40 together.
