# Hairu shares his stickers part 54 (Math Question)

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The blog postings are about the Singapore Math. The readers can learn from the postings on 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 will learn the skills of dealing with the Math Problem Solving, the Math Modeling 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 Ratio,  Fraction and Problem Sum.

You can read the posting on Sarin learns the concept of Fraction (mathematics concept) to understand the concept of Fraction or Portion.

Read the posting on Sarin learns concept of ratio in school to understand the concept of Ratio.

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

Upper primary school mathematics question UPQ432

The ratio of the number of stickers Sarin had to the number of stickers Hairu had was 2 : 1. After Sarin gave away some stickers, the ratio became 2 : 5. Hairu then gave away 1/10 of his stickers. In the end, they had a total of 208 stickers left. How many stickers did Sarin give away?

Solution:

Start the math model with the ratio of 2 : 5 than adding the information of giving away by both of them

The total left over is 208 stickers

The math model

From the model

13 units = 208

1 unit = 16

The number of stickers Sarin given away = 16 × 16 = 256

Alternative solution:

The initial stickers ratio

Sarin’s stickers : Hairu’s stickers = 2 : 1 = 10 : 5

After Sarin’s given away and no change in the number of Hairu’s stickers

The ratio, Sarin’a stickers left : Hairu’s stickers = 2 : 5

Sarin’s stickers left : Sarin’s gave away : Hairu’s stickers = 2 : 8 : 5 = 4 : 16 : 10

After Hairu given away 1/10 fraction of his stickers

The final ratio,

Sarin’s stickers left : Sarin’s gave away : Hairu’s stickers left : Hairu’s gave away = 4 : 16 : 9 : 1

The total left = 13 units = 208

1 unit = 16

The number of sticker Hairu given away = 16 × 16 = 256