# Sarin’s family celebrating Hari Raya Puasa part 16 (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 presents the Math Concept, the Math Questions with solutions that teaches in Singapore Primary Schools. You or the kids can acquire the skills to deal with the Math Modeling, the Math Problem Solving and the 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 FractionRatio 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 UPQ392

Fatimah brought out a basket of fruits to serve their guests during Hari Raya Pusas celebration. The basket contained apples and oranges and 1/4 of the fruits were apples. Fatimah topped up the basket with 30 more apples later in the day, the ratio of the number of apples to the total number of fruits became 3 : 8. Find the total number of fruits at the end.

Solution:

The ratio of apples to total fruits was 3 : 8 at the end

The ratio of apples to oranges = 3 : 5 at the end

The end ratio model The fraction of apples to the fruit was ¼ initially

The initial ratio of apples to oranges = 1 : 3

By subdiving the end ratio model and added in the information of initial ratio, you can determine the number of subdivision units equalivent to the 30 apples added in. Number units equivalent to 30 apples = 9 – 5 = 4 units

1 unit = 30 ÷ 4 = 7.5

The total number of fruit at the end = 24 × 7.5 = 180

Alternative solution:

By ratio

Apples : all = 1 : 4

After added 30 more apples

The ratio

Apples : all = (1U + 30) : (4U + 30) = 3 : 8

8U + 240 = 12U + 90

4U = 150

1U = 37.5

The total number of fruits at the end = 4U + 30 = 150 + 30 = 180

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