The Camping Plate Approach to Finding Averages
On Monday, on Amelia's farm, the average weight of a rabbit is 5.4 pounds, and in total, the rabbits weigh 189 pounds. The average chicken weighs 4.5 pounds, and in total, the chickens weigh 243 pounds. The number of rabbits doubles every two days, and the number of chickens doubles every three days.
| Quantity A | Quantity B |
|---|---|
| The number of rabbits six days later | The number of chickens six days later |
Correct!
The first step is to use the camping plate approach to solve for the number of rabbits and chickens on Amelia's farm on Monday.
Since you know the total weight and the average weight, you can find the number of each animal by dividing the total weight by the average weight.
For the rabbits, there are 189 ÷ 5.4 = 35 rabbits on Monday.
For the chickens, there are 243 ÷ 4.5 = 54 chickens on Monday.
To calculate the two quantities, you need to figure out how many times each group of animals doubles. Since the rabbits double every two days, they will double three times over six days. Since the chickens double every three days, they will double twice over six days.
| Quantity A | Quantity B |
|---------|---------|
| The number of rabbits six days later | The number of chickens six days later |
| 35 • 2 • 2 • 2 | 54 • 2 • 2 |
| 280 | 216 |
Note that doubling something three times is not the same as multiplying by 6 because 2 • 2 • 2 = 8.
From the calculations, Quantity A is greater than Quantity B.
Incorrect.
[[snippet]]
You may have gotten this answer if you multiplied by 6 in order to double a value three times.
2 • 2 • 2 = 8
Incorrect.
[[snippet]]
Since you know the total weight and the average weight, you can find the number of each animal by dividing the total weight by the average weight.
Incorrect.
You can calculate the values for each quantity, so you can compare them, and the relationship can be determined.
[[snippet]]
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
