# Fatimah and Hairu enjoy Congkak game part 21 (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, Math Questions with solutions that teaches in Singapore Primary Schools. You or the kids can aquire the skills of dealing with Math Modeling, 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 Problem sum.

Read the posting on Fatimah and Hairu play Congkak to know about Congkak game.

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

Upper primary school mathematics question UPQ267

Fatimah had 3 times as many marbles as Hairu. Fatimah packed all her marbles equally into 42 boxes while Hairu packed all his marbles equally into 56 bags. There are 93 more marbles in each box than each bag. How many marbles did Fatimah and Hairu have altogether?

Solution:

Draw the model based on Fatimah had 3 times marbles than Hairu

Fit in the information on number of boxes and bags.

1 box = 93 + 1 bags

Base on 1 unit in the model,

56 bags = 42 ÷ 3 = 14 boxes = 14 bags + 14 × 93

42bags = 1302

1 bag = 31 marbles

1 box = 31 + 93 = 124 marbles

Total number of marbles they have = 56 × 31 + 42 × 124 = 6944

Alternative solution:

By equation:

Set : The number of marbles that Fatimah had = F

The number of marbles that Hairu had = H

Fatimah had 3 times as many marbles than Hairu

F = 3H

In a box had 93 marbles more than in a bag

F/42 – H/56 = 93

3H/42 – H/56 = 93

H/14 – H/56 = 93

56H – 14H = 93 × 14 × 56

42H = 93 × 14 × 56

H = 31 × 56 = 1736

F = 3 × 1736 = 5208

Total number of marbles that both of them had = 1736 + 5208 = 6944

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