# A family in Singapore part 19 (Math Question)

Standard

The blog postings are about the Singapore Math. The readers can learn from the postings on Solving Singapore Primary School Mathematics. You or your kids can learn dealing with Math modeling, Problem Sum from Lower Primary School to Upper Primary School level in Singapore school. This posting is a primary school math question on Fraction, Charting and Problem Solving.

You should read the posting on Sarin learns Average Number, Percentage and Charting in school (Math Concept) to understand the concept of Percentage and Charts.

Read also the posting on Sarin learns the concept of Fraction (mathematics concept) to understand the concept of Fraction.

Upper primary school mathematics question UPQ201

The pie chart below illustrates Sarin’s family expenditure in a particular month.

The family spent as much money on transport as on food. They spent 1/2 as much on clothing as on food. How much did the family spend on rent?

Solution:

The expenditure on food and clothing is a quarter of the pie chart and the expenditure of clothing is half of food

We have

The fraction of the family expenditure on Food = 2/12

The fraction of the family expenditure on Clothing = 1/12

The fraction of the family expenditure on Education = 3/12

The fraction of the family expenditure on Transport = 2/12

The fraction of the family expenditure on Rental = 1 – 2/12 – 1/12 – 3/12 – 2/12 = 4/12

The family spending on Transport = \$400

The family spending on Rental = 2 × 400 = \$800

Alternative solution:

The family spending on food = The family spending on Transport = \$400

The family spending on Clothing = \$400 ÷ 2 = \$200

The family spending on Education = 400 + 200 = \$600

The family spending on rent = 600 + 600 – 400 = \$800