Second Lesson (Repeated Identity Concept)

Today we will be learning about the Repeated Identity Concept. This convept usually involves around an object or person that is repeated in the question. We can solve the solve the question either by the model or the units method. Just like the Remainder Concept which we learnt earlier, the Repeated Identity Concept can exist in many other forms such as fractions, ratios and the percentage.

Question 1:

Jennifer has 3/4 as many biscuits as Melissa. Melissa has 1/4 as many bisuits as Tom. If the three of them have a total of 92 bicuits, how many biscuits does Jennifer have?

Solution 1:

Jennifer: Melissa
3 : 4

Melissa : Tom
1 : 4

Jennifer : Melissa : Tom
3 : 4 : 16

total units: 23units

23units: 92
1unit: 4
3units: 12#


Question2 :

The number of spectators at a basketball match on Wednesday was 10% more than on Tuesday. On Thursday, there were 20% less spectators than on Wednesday. Given that there were 4800 more spectators on Tuesday than on Thursday, find the number of spectators on Tuesday.


Solution 2:

Wed: Tue: Thur
11: 10 : 8.8

10 - 8.8 = 1.2

1.2units: 4800
10units : 40000#


Question of the day:

Ray allen, Paul Pierce, Rajon Rondo and Kevin Garnett shared $168. Kevin Garnett received 1/7 of the total amount of money received by Ray Allen. Paul Pierce and Rajon Rondo. Ray Allen received 3/4 of the total amount of money received by Paul Pierce and Rajon Rondo. Paul Pierce received 2/5 as much as Rajon Rondo. How much did Paul Pierce receive?

Answer: $24#

This is the end of the second lesson, please revise as there will be a small test at the end of the 5 lessons.

Reference from the book "Challenging Maths Problems Made Easy" by Ammiel Wan Chee Hong