Frank, Mary and Seth shared some sweets in the ratio 4 : 5 : 7 Seth got 18 more sweets than Frank. Work out the total number of sweets they shared.

Each number in the ratio 4:5:7 is worth 6 sweets. add 4,5, and 7 to get 16 then multiply it by 6 to get 96 sweets.

So, Seth has 18 more sweets than Frank, yet theres only 3 number difference in the ratio, 4:5:7 (4:5) 3 number difference, 18/3 = 6

add the ratios = 4+5+7 = 16

1 number = 6 so

4x6 = 24

5x6=30

7x6=42

Frank gets 24 sweets

Mary gets 30 sweets

Seth gets 42 sweets

The total number of sweets they shared is 24+30+42 = 96

The share 96 sweets altogether.

The check your answer; do 42-24 = 18

Therefore, now we know that the difference between Seth and Frank's amount of sweets is 18.

Therefore, this is correct.