Sarin’s family took a train part 9 (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 will able to acquire knowledge of dealing with Math Modeling, Math Problem Solving and Problem Sum from Lower Primary School to Upper Primary School level after read the blog postings. This posting is an upper primary school math question on Fraction.

Read the posting on Sarin’s family took a train about Sarin’s family had their train ride from Singapore Tanjong Pagar Train Station.

Read the posting on Sarin’s family in Kluang about Sarin’s family venture in Kluang.

To read also the posting on Sarin learns the concept of Fraction (mathematics concept) to understand the concept of Fraction.

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

Upper primary school mathematics question UPQ280

Sarin’s family took a train from Singapore Woodlands Station to Malaysia Kluang Station. When the train reached the first stop at Malaysia JB central Station, 2/5 of the passengers in their cabin alighted and 22 new passengers boarded the train to their cabin. When they reached the second stop at Malaysia Kluang Station, ¼ of the new total number of passengers in their cabin alighted and 5 new passengers boarded the train to their cabin. Now there are 80 passengers on board the train in their cabin. How many passengers were in their cabin at Woodlands Station Station?

Solution:

                        Start from the second stop at Malaysia Kluang Station,

                        The fraction of passengers remain on board = 1 – ¼ = ¾

                        There are 5 more passengers boarded the train at second stop

                        The passengers from the first stop = 80 – 5 = 75

 

                        3 units = 75

                        1 unit = 25

                        The number of passengers from the 1st stop at JB Central Station = 4 × 25 = 100

                        22 new passengers onboard their cabin at 1st stop

                        The number of passengers in their cabin that from Woodlans Station = 100 – 22 = 78

                        The fraction of passengers remained in their cabin at JB central = 1 – 2/5 = 3/5

 

                        3 units = 78

                        1 unit = 26

                        The number of passengers boarded their cabin from Woodlands Station = 5 × 26 = 130

Alternative Solution(1):

 

 

            The number of passangers remain in the cabin in Kluang Station = 80         

            80 – 5 = 75 ==> 3/4

            100 ==> 4/4

            The number of passangers in the cabin arrival at Kluang Station = 100

            100 – 22 = 78 ==> 3/5

            130 ==> 5/5

            The number of passengers in the cabin from Woodlands Station = 130

Alternative Solution(2):

                By using Math Model

 

 

 

            From the model

                        1K = 75 ÷ 3 = 25

            Number of passengers at JB central = 4 × 25 = 100

                        1U = 78 ÷ 3 = 26

            Number of passengers at Woodlans Station = 5 × 26 = 130      

More Questions on Fraction. Click here….

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