Question

126314 tickets have been sold to a concert. On average, each ticket holder throws away 942grams of rubbish. The rubbish will be taken away in trucks that must not carry more than 575 kilograms each.

Estimate the number of trucks that will be needed?

Answer 1

To estimate the number of trucks needed, we multiply the number of tickets sold by the average weight of rubbish per ticket holder, convert the weight to kilograms, and divide by the maximum weight a truck can carry. The estimated number of trucks needed is approximately 207.

Step-by-step explanation:

To estimate the number of trucks needed, we need to calculate the total weight of the rubbish and divide it by the maximum weight the trucks can carry. First, we find the total weight of the rubbish by multiplying the number of tickets sold by the average weight of each ticket holder's rubbish:

Total weight of rubbish = 126314 tickets x 942 grams/ticket = 119,013,908 grams.

Next, we convert the weight to kilograms (since the maximum weight of the trucks is given in kilograms):

Total weight of rubbish = 119,013,908 grams x (1 kilogram/1000 grams) = 119,013.908 kilograms.

Finally, we divide the total weight of the rubbish by the maximum weight a truck can carry:

Number of trucks needed = total weight of rubbish / maximum weight per truck = 119,013.908 kilograms / 575 kilograms per truck ≈ 206.99 trucks.

Since we can't have a fraction of a truck, we round up to the nearest whole number. Therefore, approximately 207 trucks will be needed.

Answer 2

So, there are 118,987,788 grams of rubbish in total, which is equal to 118,987.788 kg of rubbish (as there are 1000g to a kilogram). Therefore, there are 118,987.788/575 = 206.94 trucks required, and thus 207 trucks will be required to carry the rubbish, as you can't have 0.94 of a truck.