A family in Singapore part 54 (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 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 FractionRatio and Problem Sum.

You can click here and read the posting  A family in Singapore about Sarin’s family.

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

Read also the posting on Sarin learns the concept of Ratio in School (mathematics concept) to understand the concept of Ratio.

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

Upper primary school mathematics question UPQ516

Sarin and Hairu had given a sum as their allowance monthly by their mother. Sarin’s monthly allowance is $42 more than Hairu’s. Hairu spends $54 more than Sarin every month. Hairu’s savings is ½ of Sarin’s savings. If Sarin spends 3/7 of his allowance every month, what is his allowance for the entire year?

 Solution:

Sarin’s spends 3/7 of his allowance monthly,

The model for monthly allowance

UPQ516-1

Per the model,

2 units = 54 + 42 = 96

1 unit = 48

Sarin’s monthly allowance = 7 × 48 = 336

Sarin’s allowance for a year = 12 × 336 = $4032

Alternative solution(1):

Express using ratio,

For Sarin,

SSaving : Sspend : Sallowance = 4 : 3 : 7 = 4U : 3U : 7U

For Hairu,

Saving is half and spending is $54 more

HSaving : Hspend : Hallowance = 4U × ½ : 3U + 54 : 2U + 3U + 54 = 2U : (3U + 54) : (5U + 54)

Since, Sarin allowance is $42 more than Hairu

7U = 5U + 54 + 42 = 5U + 96

2U = 96

1U = $48

Sarin’s allowance monthly = 7 × 48 = $336

Sarin’s allowance for a year = 12 × 336 = $4032

Alternative Solution(2):

Express using fraction,

3/7 of Sarin’s allowance ==> Spending

4/7 of Sarin’s allowance ==> Saving

Hairu’s allowance + $42 ==> Sarin’s allowance

Hairu’s saving ==> 2/7 of Sarin’s allowance

Hairu’s spending ==> 3/7 of Sarin’s allowance + $54

Hairu’s allowance ==> 5/7 of Sarin’s allowance + $54

Sarin’s allowance ==> 5/7 of Sarin’s allowance + $54 + $42

2/7 of Sarin’s allowance ==> $96

2 units = $96

1 unit = $48

Sarin’s allowance ==> 7 × 48 = $336

            Sarin’s allowance for a year è 12 × 336 = $4032           

More Questions on Fraction and Ratio. Click here….

More Questions on Problem Solving. Click here….

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