Answer:
Tom has 7/11 of the total amount.
Explanation:
Before we can determine what fraction of the total does Tom have, we need to find the amount he has using a system of equations, where:
- T represents the amount of money Tom has,
- and A represents the amount of money Ann has.
First equation:
Since Tom and Ann have £110 together, our first equation is given by:
T + A = 110
Second equation:
Since Tom has £30 more than Ann, our second equation is given by:
T = A + 30
Method to solve: Substitution:
Solving for A:
We can first determine how much money Ann has by substituting A + 30 for T in the first equation in our system:
A + 30 + A = 110
(2A + 30 = 110) - 30
(2A = 80) / 2
A = 40
Thus, Ann has £40.
Solving for T:
We can now determine how much money Tom has by plugging in 40 for A in the second equation in our system:
T = 40 + 30
T = 70
Thus, Tom has £70.
Determining what fraction of the total does Tom have:
Now we can determine what fraction of the total does Tom have by dividing 70 by 110 and simplifying:
70/110
Both 70 and 110 can be divided by 10 (i.e., the greatest common factor of 70 and 110):
(70 / 10) / (110 / 10)
7/11
Thus, Tom has 7/11 of the total amount.