Answer: The difference is 40.
There were 40 more away fans at semi finals than at the finals.
Step by step
Semi finals
We know that the fans will be divided into 10 equal portions ( 6 + 4 = 10)
As 10 is the total number of fans in our ratio, we need to divide 250 by 10 – which gives us 25.
Our ratio of home:away fans was 6:4, so we need to multiply both parts by 25 to get our answer:
6 x 25 = 150
4 x 25 = 100 away fans at semi finals
Now to do the same for the finals
We know that the fans will be divided into 10 equal portions ( 7 + 3 = 10)
As 10 is the total number of fans in our ratio, we need to divide 200 by 10 – which gives us 20.
Our ratio of home:away fans was 7:3, so we need to multiply both parts by 20 to get our answer:
7 x 20 = 140
3 x 20 = 60 away fans at finals
Now the original question is the “difference” between “away fans” (subtraction) at the semi finals and the finals.
Looking back at our answers, we had
100 away fans at semi finals
60 away fans at finals
The difference is subtraction
100 - 60 = 40 difference
The difference is 40. There were 40 more away fans at semi finals than at the finals.