Answer:
44
Step-by-step explanation:
Given that:
Fiona, Peter and Angad share some sweets in the ratio 5:4:3. Fiona gets 22 more
sweets than Angad. How many sweets does Peter get?
5 : 4 : 3
Total ratio = (5 + 4 + 3) = 12
Let total number of sweets = x
For Fiona :
(5 / 12) * x = 5x / 12
Peter :
(4 / 12) * x = 4x / 12
Angad:
(3 / 12) * x = 3x / 12
Sunce, Fiona gets 22 more Than Angad ;
Then;
5x / 12 = 22 + 3x /12
5x/12 = 22 + 3x/12
5x/12 - 3x/12 = 22
(5x - 3x) / 12 = 22
2x / 12 = 22
2x = 22 * 12
2x = 264
x = 132
Hence, total number of sweets = 132
Peter's share = (4x / 12) = (4 * 132) / 12 = 528/12 = 44
Peter got 44 sweets