Answer:
one part = 20.5
the other part = 61.5
Step-by-step explanation:
let one part = x
let another part = y
(1) create two equations
i) 82 is separated into 2 parts, x and y. it means x plus y equals to 82
x+y = 82
ii) one part is bigger than the other. if x is the bigger part, it is 3 times bigger than y
x = 3y
(2) use substitution method to find the value of x and y
x+y = 82 -------- (1)
x = 3y ---------- (2)
substitute (2) into (1)
x+y = 82
3y+y = 82
4y = 82
y = 82/4
y = 20.5
substitute y = 20.5 into (2)
x = 3y
x = 3(20.5)
x = 61.5