Answer:
There are 144 sweets altogether.
Step-by-step explanation:
Let us call:
S = Number of sweets Sushil's sweets
A = Number of sweets Alex' sweets
P = Number of sweets Peter's sweets
The ratio between them is S:A:P = 6:5:1. It must be separated as:
[tex]\displaystyle \frac{S}{A}=\frac{6}{5}[/tex]
Or, equivalently:
5S = 6A [1]
Also:
[tex]\displaystyle \frac{A}{P}=\frac{5}{1}[/tex]
Or, equivalently:
A = 5P [2]
We also know Sushil gets 60 more sweets than Peter:
S = P + 60 [3]
Solving for P:
P = S - 60 [4]
Substituting in [2]:
A = 5(S - 60) = 5S - 300 [5]
Substituting in [1]
5S = 6(5S - 300)
Operating:
5S = 30S - 1800
Rearranging:
25S = 1800
Dividing by 25:
S = 1800/25=72
S = 72
Substituting in [5]:
A = 5(72) - 300
A = 60
Substituting in [4]:
P = 72 - 60
P = 12
In total there are 72 + 60 + 12 = 144.
There are 144 sweets altogether.
