# Fatimah and Hairu enjoy Congkak game part 31 (Math Question)

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The blog postings are about the Singapore Math. The readers can learn from the postings about Solving Singapore Primary School Mathematics. The blog presenting the Math Concept, Math Questions with solutions that teaches in Singapore Primary Schools. You or the kids can acquire the skills of dealing with Math Modeling, Math Problem Solving and Problem Sum from Lower Primary School to Upper Primary School level after reading the blog postings. This posting is a lower primary school math question on Fraction and Problem solving.

You can read the posting on Fatimah and Hairu play Congkak to know about Congkak game.

Read the posting on Sarin learns the concept of Fraction (mathematics concept) to understand Fraction and Portion.

Challenge yourself with the question before look for the given solution‼!

Lower primary school mathematics question LPQ96

After a round of Congkak game, Fatimah had collected some marbles. 1/3 of them were gold, 1/10 of them were purple and the rest were pink.  There were 42 less purple than pink stars. How many marbles she has in all?

Solution:

Using model,

Subdivided one whole to 30 units (parts)

Per the model,

14 units = 42

1 unit = 3

The total number of marbles Fatimah has = 3 × 30 = 90

Alternative solution (1):

The fraction of gold marbles ==>1/3 = 10/30

The fraction of purple marbles ==> 1/10 = 3/30

The faction of gold and purple marbles = 10/30 + 3/30 = 13/30

The fraction of pink marbles = 1 – 13/30 = 17/30

The fraction of pink marbles more than purple marbles = 17/30 – 3/30 = 14/30 = 7/15

Given 42 less purple marbles than pink marbles,

The total number of marbles = 42 × 15/7 = 90

Alternative solution (2):

Form a fraction table as shown:

Total                Gold                Purple              Pink                 Purple and Pink difference

1                         1/3                   1/10                 NG

30/30               10/30               3/30              17/30               17/30 – 3/30 = 14/30

There are 42 less purple marbles than pink marbles

14 units = 42

1 unit = 3

The total number of marbles = 3 × 30 = 90