Final answer:
To find the total amount of money given to Tommy and Annie, we need to determine the amount received by each of them individually. We can set up an equation to find the total amount of money given.
Step-by-step explanation:
To find the total amount of money given to Tommy and Annie, we need to first determine the amount received by Tommy and Annie individually. Let's assume that Tommy received x amount of money. According to the given information, Annie receives £100 more than Tommy. So, Annie received x + £100 amount of money.
The ratio of the money shared between Tommy and Annie is given as 2:7. This means that the total amount of money is divided into 2 + 7 = 9 equal parts.
Now, we can set up an equation to solve for the total amount of money given. We can write the equation as:
2x + 7(x + £100) = Total amount of money given
Simplifying the equation further, we get:
2x + 7x + £700 = Total amount of money given
Combining like terms, we have:
9x + £700 = Total amount of money given
Therefore, the total amount of money given is equal to 9x + £700.