Richard, Henry and Gavin share some sweets in the ratio 3:1:4. Richard gets 33 sweets. How many did Gavin get?

Question

Richard, Henry and Gavin share some sweets in the ratio 3:1:4. Richard gets 33 sweets. How many did Gavin get?

Answer 1

The total of 3 1 4 = 8 So, 3/8 is Richard's portion, 1/8 is Henry's portion & 4/8 is Gavin's portion

Richard get 3/8 of the Total (T) = 33 sweets or (3/8)T = 33 or T = 88

So, for Henry (1/8)T = (1/8)(88) = 11 sweets and for Gavin (4/8)T = (1/2)88 = 44 sweets