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

the ratio in which the sweets are distributed are 4:5:7.

total number of portions are 4 + 5 + 7 = 16.

we are told that Seth has 18 more sweets than Frank.

if we take the ratio of Frank to Seth its 4:7. Seth has 3 portions more than Frank. 3 portions are equivalent to 18 sweets. Therefore 1 portion is equal to 6 sweets. altogether there are 16 portions,

therefore total number of sweets are 16 x 6 sweets = 96 sweets. they shared a total of 96 sweets