Question

PART A: APPLICATION (10 marks)

1. Tom weighs six kilograms less than twice Jerry's weight. If the sum of their weights is 102
kilograms, how much does each person weigh? You can choose to solve by substitution or
elimination for this question. Show your work for full marks.
(5 marks)
Let T

Answer 1

Jerry's weight is 36kg and tom's weight is 66kg

Explanation:

According to the given condition:

Let,tom's weight =x

Jerry's weight=y

So,

X=2y-6 ---(1)

X+y=102-----(2)

Put value of x from eq 1 in 2

2y-6+y=102

3y-6=102

3y=102+6

3y=108

Y=108/3=36

Jerry's weight is 36.

Put value of y in eq 1

X= 2(36) -6

X=72-6

X=66

So, Tom's weight is 66kg