# Sarin’s family in Kluang part 15 (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 learn the skills of dealing with the Math Modeling, 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 Percentage, Fraction and Problem Sum.

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

Read also the posting on Sarin learns Average Number, Percentage and Charting in school (Math Concept) to understand about Percentage.

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

Upper primary school mathematics question UPQ474

Fatimah and Hairu went shopping in Kluang Mall. Hairu had \$185 more than Fatiimah. After Fatimah spent 40% of her money and Hairu spent 70% of his money, they had the same amount of money left.

(a)        How much money had Fatiimah left?

(b)        What was the total amount of money they spent?

Solution:

From the question

Both of them left with same amount after spending

60% of Fatimah’s money is equal to 30% of Hairu’s money

Draw the math model

From the model

10 units = 185

1 unit = 18.5

The amount of money that Fatimah left with = 6 × 18.5 = \$111

The total amount spent by both of them = 18 × 18.5 = \$333

Alternative Solution:

60% of Fatimah’s money is equal to 30% of Hairu’s money

Fraction of 6/10 = 3/5 of Fatimah money ==> Fraction of 3/10 of Hairu’s money

The different amount of between Fatimah and Hairu ==> 10 – 5 = 5 units

5 units = \$185

1 unit = \$37

The amount of money that Fatimah left with = 3 × 37 = \$111

The total amount spent by both of them = (2 + 7) × 37 = \$333