Quiz 8 (Ans) Problem Solving

Question 1

Let the smaller no. be x
The larger no. will be x + 2

x + 2 + 2x = 50
Solving, x = 16
Therefor the 2 numbers are 16 and 18.

Question 2

Given that Philip's age is x
Josh age is x/2
Emmy age is x/2 - 8

Given that sum of ages = 68
x + x/2 + x/2 - 8 = 68
Solving, x = 38

At present, Emmy's age = 11
In 5 years' time, her age will be 16 years old

Question 3

(a) Time = 120/x h

(b) Time = 60/x h

(c) Equation:
120/x - 60/x = 5/2
Solving, we get x = 24

Average speed of motorist from the return journey = 2x km/h (given in part (b))
So, substituting the value, Average speed = 2(24) km/h
which is 48 km/h

20110118: We have a Problem

In S1-02, there are 4 groups.
3 groups have 6 members, 1 group has 5 members.
Every member contribute points to the group score.

To be fair to the group with 5 members only, 2 suggestions were given:

Suggestion 1: Ben suggested to find the average of the total points contributed by the members
Suggestion 2: Dexter suggested multiply the points of the 3 groups by 5 and the points of the group with 5 members by 6.

Are both suggestions workable.
Justify your answer.