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How much waste do we produce? How much do we recycle?
Neel from Zurich International School in Switzerland used the cards to answer this question:
1. Residual (unrecycled) waste = 55% of all waste = 275 kg/per person/per year
Multiplied by 65,000,000 (population) = 17,875,000,000 kg for the population/annually.
2. Recycled waste (45% of all waste):
275 divided by 55 multiplied by 45 is the amount which one resident recycles annually = 225 kg
225 kg $\times$ 65,000,000 (population) is the amount recycled = 14,625,000,000 kg by the population annually.
Total waste produced is = Residual + recycled = 17875 million+14625 million = 32.5 billion kgs
Rafael from Bexley Grammar School in the UK did some independent research. Click to see Rafael's work.
Q1: How many plastic bottles does the family use each week, on average?
Rohan from Wilson's School in the UK and Neel sent in correct solutions. This is Neel's work:
Step 1: Find out how many plastic bottles are made with 1 kg of plastic
First we find out how many plastic bottles are made in the UK annually.
The answer of how many plastic bottles are made is 15,000,000 $\times$ 365 = 5,475,000,000
Next we find out how many kilos of plastic are used to make plastic bottles.
The answer for this is 275,000 tonnes or 275,000,000 kg.
Next we divide the two together to find out how many plastic bottles are made out of 1 kg of plastic.
5,465,000,000 divided by 275,000,000 = 19.91 (Rounded from 1.’90’ repeated) This means that about 19.91 plastic bottles are made from 1 kg of plastic.
Step 2: Find out how many plastic bottles the family uses in a week on average.
The family produces 40 kg of plastic in a year, so we need to divide this by 52 to find out how much plastic they produce weekly. This is 40 divided by 52 which is 0.76923076923 or if we round it (0.77.)
Because one half of the plastic the family uses is plastic bottles means they use 0.76923076923 divided by 2 which is 0.38461538461. This is how much plastic the family uses weekly for plastic bottles. Next we have to calculate how many plastic bottles are made with that amount of plastic.
Which is 0.38461538461 multiplied by 19.91 (Or the plastic bottles made with a single kilo of plastic), which is equal to 7.65730769231, or if we round it, 8.
Q2: How much of the family’s recycling (in weight) is made up of other materials?
This is Rohan's work:
Glass: recycle 90% of 10 items used per week
9 $\times$ 300g $\times$ 52 = 140.4kg
Aluminium: recycle 500g per week
0.5 $\times$ 52 = 26kg
Paper and card packaging:
- 10 million tonnes of paper and cardboard are used each year.
- About half of the paper and card produced in the UK is used to make packaging.
- Therefore 5 million tonnes (or 5 billion kg) of paper and card is used to make packaging each year.
Packaging per person = 5 billion kg ÷ 65 million people = 76.923kg (annually)
Therefore for a family of 4 = 76.923kg $\times$ 4 = 307.69kg (2.d.p)
45% of household waste is recycled. So this means 55% is not recycled.
- “Residual waste” means waste which is not recycled.
- Residual waste per person is 275kg per year. (55%)
Therefore, recycled waste is 45% and this is 225kg per person.
So, for the family of 4 recycled waste is 900kg for the year.
Garden waste: makes up 40% of the total weight of their recycled waste.
40% $\times$ 900kg = 360kg
Other materials = 900 – (360+20+307.69+26+140.4)
Therefore, other materials recycled =45.91kg