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Bob and Dave share some money. Bob gets 1/3 of the money and Dave got 2/5 of the money. The difference between the amount they received is £30. How much money is there in total?

User HkBst
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2 Answers

10 votes

Final answer:

The total amount of money shared between Bob and Dave is £450, calculated by solving the difference in their shares, which was £30.

Step-by-step explanation:

Bob and Dave share some money where Bob gets 1/3 of the money and Dave gets 2/5 of the money. The difference between the amount they received is £30. To solve this, let's assume the total amount of money is 'x'. Therefore, Bob gets x/3 and Dave gets 2x/5. The difference between them is:

Dave - Bob = 2x/5 - x/3 = £30.

By finding a common denominator, which is 15, we can rewrite the equation as:

6x/15 - 5x/15 = £30

1x/15 = £30

Multiply both sides by 15 to solve for x:

x = £30 * 15

x = £450

Therefore, the total amount of money shared between Bob and Dave is £450.

User Kirimi
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6.0k points
10 votes
The answer to this is £450.
User Robertwest
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6.0k points