pure kestrel
A car weighs 1947.5kg total, in the back it weighs 1185.1kg, in the front it weighs 762.4.
The front weighs 39.1% and the back weighs 60.9%.
To pass inspection my car needs 30kg removed but it needs to maintain 60% in the back and 40% in the front. How much weight has to be changed in the front?
burnt pumice
What is the total weight if you remove 30kg?
burnt pumice
@pure kestrel
pure kestrel
What is the total weight if you remove 30kg?
1917.5kg
burnt pumice
It just asked how much needs to be changed
So just the absolute difference of the original from now
burnt pumice
Yes
pure kestrel
So removing 30kg in the back and adding 4.6 to the front would keep it 60-40?
pure kestrel
40%
pure kestrel
To maintain the weight distribution of 60% in the back after removing 30 kg, we can set up the following equation:
(1185.1 kg - 30 kg) / (1947.5 kg - 30 kg) = 0.6
Simplifying this equation:
1155.1 kg / 1917.5 kg = 0.6
Now, let's calculate the weight that needs to be removed from the front.
Let x be the weight to be removed from the front.
762.4 kg - x kg = 0.4 * (1917.5 kg - 30 kg)
Simplifying this equation:
762.4 kg - x kg = 0.4 * 1887.5 kg
762.4 kg - x kg = 754.5 kg
x kg = 762.4 kg - 754.5 kg
x kg = 7.9 kg
Therefore, you need to remove 30 kg from the back and 7.9 kg from the front to maintain a 60% weight distribution in the back.
Chatgpt says otherwise
burnt pumice
To maintain the weight distribution of 60% in the back after removing 30 kg, we ...
Why is it 1917.5 - 30
You took 2/5 of 1887.5
burnt pumice
To maintain the weight distribution of 60% in the back after removing 30 kg, we ...
You have 60.9 percent currently
pure kestrel
But something is wrong infact
Assuming I removed 30kg from the back it becomes 1155.1kg
So how can 60% of 1917.5 be 1150.5kg
something isnt making sense
burnt pumice
1917.5 x 0.6 = 1150.5
That’s not how it works
You can’t subtract from both sides to maintain a constant ratio
It’s like saying
8/1
= 8-4/1-4
= -4/3
Is 8 equal to -4/3?
pure kestrel
So I had to add 4.6kg to the front.
Remove 30kg from the back.
Which resulted in 60% in the back and 40% in the front.
burnt pumice
So I had to add 4.6kg to the front.
Remove 30kg from the back.
Which resulted in...
You need to remove
More
From the back
Whatever you are adding to the front
pure kestrel
0.39760104302
pure kestrel
Wiat
Wait
It doesnt matter
aslong as its 60% in the back
I dont have to do anything right?
pure kestrel
aslong as its 60% in the back
Aslong as its 60% and upwards its fine
burnt pumice
Right now 60.24
pure kestrel
So in the back its 60.24%
burnt pumice
Is approx on the back