Question

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

Answer 1

96 is the total number of sweets they shared

Explanation:

Let x be the number.

As per the statement:

Frank, Mary and Seth share some sweets in the ratio 4:5:7.

then;

Frank has sweets = 4x

Mary has sweets = 5x

Seth has sweets = 7x

It is also given that:

Seth has 18 more sweets than Frank.

⇒
`7x = 4x+18`

Subtract 4x from both sides we have;

`3x = 18`

Divide both sides by 3 we have;

x = 6

Total number of sweets = 4x+5x+7x = 16x = 16(6) = 96

Therefore, 96 is the total number of sweets they shared

Answer 2

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