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# Maths help (GCSE) Watch

1. Hi, I cant find the maths forum so I posted it here.

Teresa is moving packets of A4 paper using a trolley.
Each packet contains 500 sheets and each sheet measures 210mm by 297mm.
Her trolley has a maximum safe load of 60kg.
How many packets can the trolley hold safety?
Density of each paper is 80grams

2. (Original post by sully50sully)
Hi, I cant find the maths forum so I posted it here.

Teresa is moving packets of A4 paper using a trolley.
Each packet contains 500 sheets and each sheet measures 210mm by 297mm.
Her trolley has a maximum safe load of 60kg.
How many packets can the trolley hold safety?

You cannot answer this question with the information provided

You would need to work out the weight of a pack of paper and you have insufficient information to do that. It's likely to involved the volume of 500 sheets and the density of paper.
3. (Original post by gdunne42)
You cannot answer this question with the information provided

You would need to work out the weight of a pack of paper and you have insufficient information to do that. It's likely to involved the volume of 500 sheets and the density of paper.
The paper has a density of 80g per m2

4. (Original post by sully50sully)
Hi, I cant find the maths forum so I posted it here.

Teresa is moving packets of A4 paper using a trolley.
Each packet contains 500 sheets and each sheet measures 210mm by 297mm.
Her trolley has a maximum safe load of 60kg.
How many packets can the trolley hold safety?
Density of each paper is 80grams

What is the area of 1 sheet of paper
What is the total area of 500 sheets of paper

What would be the mass of that area

How many of those makes 60kg
5. (Original post by sully50sully)
Hi, I cant find the maths forum so I posted it here.

Teresa is moving packets of A4 paper using a trolley.
Each packet contains 500 sheets and each sheet measures 210mm by 297mm.
Her trolley has a maximum safe load of 60kg.
How many packets can the trolley hold safety?
Density of each paper is 80grams

Find the area of a single sheet, multiply by 500 and then by 80 to find the weight of a packet, divide by 1000 to convert weight into kg then divide into 60 to find maximum number of packets.
6. (Original post by m-s-96)
x
Know you're right here, but it's late and it's not sinking in. Wouldn't the fact that the thickness of the paper is negligible mean that the volume of a single sheet would be less than the area? Because you'd be multiplying a number that was close to zero? Also it's 80g/m^3 isn't it? Surely it'd be easier to work in m and g then convert to SI units once you're done.

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7. (Original post by RyanAGTerry)
Know you're right here, but it's late and it's not sinking in. Wouldn't the fact that the thickness of the paper is negligible mean that the volume of a single sheet would be less than the area? Because you'd be multiplying a number that was close to zero? Also it's 80g/m^3 isn't it? Surely it'd be easier to work in m and g then convert to SI units once you're done.

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In this scenario, the width of the paper is so small that it is ignored; don't forget this is GCSE level so the idea of the smaller volume is correct, but is invalid in this context.

easier to work in m and g
'm' is already SI unit. I prefer to use SI units from the beginning to prevent any confusion later on in the calculation. The density of a single sheet of paper is 80gm^-3 or 0.080Kgm^-3.
8. (Original post by m-s-96)
In this scenario, the width of the paper is so small that it is ignored; don't forget this is GCSE level so the idea of the smaller volume is correct, but is invalid in this context.

'm' is already SI unit. I prefer to use SI units from the beginning to prevent any confusion later on in the calculation. The density of a single sheet of paper is 80gm^-3 or 0.080Kgm^-3.
Yeah I put cm at first and changed to m after I reread the question and was too tired to change it. :P

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9. (Original post by RyanAGTerry)
Yeah I put cm at first and changed to m after I reread the question and was too tired to change it. :P

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10. Im stuck on the same thing
11. (Original post by Genji200)
Im stuck on the same thing
This thread is over 3 years old.

12. (Original post by Genji200)
Im stuck on the same thing
Here we go:-

Density of paper is measured in g per square metre (not physics strict definition of g per cubic metre.) - 80 g / m^2

Area of paper (in metres) = 0.297m * 0.21m = 0.06237 m^2

Therefore weight of single paper = 0.06237 m ^ 2 * 80 g / m^2 = 4.9896 g

Pack Of paper (500 sheets) = 500 * 4.9896g = 2494.8 g or 2.4948 Kg

Maximum weight trolley can hold is 60Kg

Therefore number of packs is ratio of these two - 60 Kg / 2.4948 Kg which is

24 packets!!

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