Answer:
135
Step-by-step explanation:
Given the ratio of sweets
4 : 5 : 6 = 4x : 5x : 6x ( where x is a multiplier ), then
6x = 4x + 18 ( Gruff has 18 more than Billy )
Subtract 4x from both sides
2x = 18 ( divide both sides by 2 )
x = 9
Thus number of sweets to each individual
Billy → 4x = 4 × 9 = 36
Goat → 5x = 5 × 9 = 45
Gruff → 6x = 6 × 9 = 54
Total number of sweets = 4x + 5x + 6x = 15x = 15 × 9 = 135
