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# Question

# Answer

Hi AnikaP

Let me try to help you with this question. First of all, this question makes use of the concept known as *Constant Total. *This is a situation that happens when 2 or more parties give and take from one another. Their total remains the same among themselves. Hence the name *Constant Total.*

With that understanding, take a look at my working and their ratios. There are 2 scenarios here and let’s call them #1 and #2.

Notice that in #1, the total units is 4. While in #2, the total units is 6. Since this is a *Constant Total *question, we must ‘make the total same’ so that we can link the 2 ratios in #1 and #2 together. Hence, the complex form is manipulated to such. Now both scenarios have 12 units in total.

Let us compare #1 and #2. We see that N gives 2.5 kg to M in #1. And in #2, N gives 0.8 kg to M. This leaves 1.7 kg more for N in #2 than in #1. And we can see that the for the end results, in #1, N has 9 units and in #2, N has 10 units. This shows that the 1 unit more that comes from the 10 units compared to the 9 units represents our 1.7 kg.

So therefore we find out that 9 units that represent N in #1 will be 15.3 kg.

So we find out that N has 15.3 kg after after giving 2.5 kg to M. **Which means, originally, N has 17.8 kg.**

Taking a step back, we can see that in #1, M has 3 units, this represents 5.1 kg. It means that M has 5.1 kg after receiving 2.5 kg from N. **So this means that originally, M has 2.6 kg.**

To solve the question, 50% of M transferred to N, will be taking 1.3 kg from M, and adding to the 17.8 kg in N.

So, **our answer will be 19.1 kg.**

Hope this helps! Feel free to PM or text me (:

http://www.futureachievers.com.sg

9114 3397

Hi AnikaP

Let me try to help you with this question. First of all, this question makes use of the concept known as *Constant Total. *This is a situation that happens when 2 or more parties give and take from one another. Their total remains the same among themselves. Hence the name *Constant Total.*

With that understanding, take a look at my working and their ratios. There are 2 scenarios here and let’s call them #1 and #2.

Notice that in #1, the total units is 4. While in #2, the total units is 6. Since this is a *Constant Total *question, we must ‘make the total same’ so that we can link the 2 ratios in #1 and #2 together. Hence, the complex form is manipulated to such. Now both scenarios have 12 units in total.

Let us compare #1 and #2. We see that N gives 2.5 kg to M in #1. And in #2, N gives 0.8 kg to M. This leaves 1.7 kg more for N in #2 than in #1. And we can see that the for the end results, in #1, N has 9 units and in #2, N has 10 units. This shows that the 1 unit more that comes from the 10 units compared to the 9 units represents our 1.7 kg.

So therefore we find out that 9 units that represent N in #1 will be 15.3 kg.

So we find out that N has 15.3 kg after after giving 2.5 kg to M. **Which means, originally, N has 17.8 kg.**

Taking a step back, we can see that in #1, M has 3 units, this represents 5.1 kg. It means that M has 5.1 kg after receiving 2.5 kg from N. **So this means that originally, M has 2.6 kg.**

To solve the question, 50% of M transferred to N, will be taking 1.3 kg from M, and adding to the 17.8 kg in N.

So, **our answer will be 19.1 kg.**

Hope this helps! Feel free to PM or text me (:

http://www.futureachievers.com.sg

9114 3397

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