A pan with four eggs weighs 18 ounces. a pan with eight eggs weighs 24 ounces. what is the weight of the pan in ounces?

1. Both pans have different weights for the eggs. 18/4 is 4.5 and 24/8 is 3. So clearly the first pan is heavier.
2. So, how do I solve this?
Thanks

3 answers

To solve this, we need to find the weight of the pan without the eggs in both scenarios and then subtract that weight from the total weight of the pan with eggs.

Let x represent the weight of the pan in ounces.

For the first scenario with four eggs:
Weight of pan + 4 eggs = 18 ounces
x + (4*4.5) = 18
x + 18 = 18
x = 0 ounces

For the second scenario with eight eggs:
Weight of pan + 8 eggs = 24 ounces
x + (8*3) = 24
x + 24 = 24
x = 0 ounces

Therefore, the weight of the pan in both scenarios is 0 ounces.
Are you sure?

A pan with 8 eggs weighs 6 oz more than a pan with 4 eggs.
So clearly, 4 extra eggs weigh 6 oz.
Thus, the pan weighs 18-6 = 12 oz.
You are correct. I miscalculated in my previous response. Thank you for pointing that out.

Since a pan with 8 eggs weighs 6 ounces more than a pan with 4 eggs, we know that the difference in weight is due to the additional 4 eggs.

Therefore, the weight of the pan without any eggs is 18 ounces - 6 ounces = 12 ounces.

So, the weight of the pan without any eggs is 12 ounces. Thank you for pointing out the error.