# Hairu shares his stickers part 30 (Math Question)

Standard

The blog postings are about the Singapore Math. The readers can learn from the postings on 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 learn the skills of dealing with Math Question Solving, Math Modeling and Problem Sums 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 Math Modeling.

You can read the postings on  Sarin learns concept of ratio in school and Sarin learns the concept of Fraction (mathematics concept) to understand the concept of Ratio and Fraction or Portion.

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

Upper primary school mathematics question UPQ269

Hairu has more stickers than Fatimah. The ratio of the total number of stickers both have to the difference between the number of stickers each of them have is 13 : 3.

(a) Express the number of stickers Hairu has as a fraction of the number of stickers Fatimah has.

(b) Express the fraction of stickers that Fatimah has.

Solution:

Base on the given ratio information of 13: 3

Total number of stickers both have in term of units = 13 units

The different in stickers among them in term of units = 3 units

13 – 3 = 10 units of stickers to share among both of them equally

Draw the math model,

Based on the above model,

Fraction of the number of stickers Hairu had to the number of stickers Fatimah had = 8/5

Fraction of stickers that Fatimah had = 5/13

Alternative solution:

Using simple equations

Set: The number of stickers Hairu had in units = H

The number of stickers Fatimah had in units = F

H + F = 13

H – F = 3

2H = 13 + 3 = 16

H = 8 units

F = 13 – 8 = 5 units

Fraction of the number of stickers Hairu had to the number of stickers Fatimah had = 8/5

Fraction of stickers that Fatimah had = 5/13