# A family in Singapore part 59 (Math Question)

Standard

The blog postings are about the Singapore Math. The readers can learn from the postings about Solving Singapore Primary School Mathematics. The blog presenting the Math Concept, the Math Questions with solutions that teaches in Singapore Primary Schools. You or the kids will able to acquire knowledge of dealing 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 PercentageFraction and  Pie Charting.

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

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

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

Upper primary school mathematics question UPQ556

The pie chart below shows how Sarin family spending in a typical month.

The family spend the same amount of money on utilities, sundries and clothes.

The amount spent on utilities and food is 50% of the family total spending.

What fraction of his allowance does the family spend on food? Solution:

From the pie chart,

The fraction of spending on Transportation = 1/4

The utilities and Food spending are 50%,

In fraction,

It is  1/2 or 2/4  of the total family spending.

The fraction of spending on Sundries and clothes = 1 – 2/4 – 1/4 = 1/4

Since same amount spend on Sundries, clothes and utilities,

The fraction of spending on Sundries = 1/4  ÷ 2 = 1/8

The fraction of spending on utilities = 1/8

Hence,

The fraction of spending on food =  1/2 – 1/8 = 3/8