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.