Sarin’s family celebrating Hari Raya Puasa part 11 (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 to deal 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 an upper primary school math question on Ratio, Fraction and Problem Sum.

You can read the postings on Sarin’s family celebrating Hari Raya Puasa and Sarin’s family and Ramadan in Welcome page about story of Sarin’s family during Ramadan and Hari Raya Puasa.

To read also the postings on Sarin learns the concept of Fraction (mathematics concept) and Sarin learns concept of ratio in school to understand the concept of Fraction and Ratio.

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

Upper primary school mathematics question UPQ297

Fatimah prepared 2 baskets of fruits to serve the guests during Hari Raya Puasa. Each basket contained apples and oranges. The ratio of the number of apples to the number of oranges in Basket A was 5 : 4. In Basket B, the number of oranges was 2/5 of the number of apples. Fatimah transferred half of the oranges from Basket A to Basket B. In the end, the total number of fruits in Basket A became 105 and the ratio of the number of apples to the number of oranges in Basket B became 7 : 4.

(a) How many oranges were transferred from Basket A to Basket B?

(b) How many fruits were there in Basket B in the end?

Solution:

            Ratio of fruit in Basket A at first, apples : oranges = 5 : 4

            Half of oranges transfer to Basket B and the total number of fruits in Basket A left are 105

            The Fraction Model

 

            From the model 

            Ratio in Basket A, apples : oranges = 5 : 2

                        7 units = 105

                        1 unit = 15

            The number of oranges transfer from Basket A to Basket B = 2 × 15 = 30

            In Basket B, the number of oranges was 2/5 of the number of apples at first

            Ratio in Basket B at first, apples : oranges = 5 : 2 = 35 : 14

            After 30 oranges transfer to Basket B

            The Ratio in Basket B, apples : oranges = 7 : 4 = 35 : 20

                        The different in number of oranges = 6 units = 30

                        1 unit = 5

            The number of fruits in Basket B at the end = 55 × 5 = 275

  More Questions on Problem Sum. Click here….

More Questions on Fraction and Ratio. Click here…

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