Need a little help with this ratio question

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Homework Help Overview

The problem involves a tank that was initially 3/4 full of oil, then had 100 liters used, and was subsequently 2/3 full. The objective is to determine the full capacity of the tank.

Discussion Character

  • Conceptual clarification, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the relationship between the fractions representing the tank's fullness and the volume of oil used. There are attempts to formulate an equation based on the difference between the two fractions and the volume of oil removed.

Discussion Status

There is an ongoing exploration of the mathematical relationships involved, with some participants questioning the validity of the equations proposed. Clarifications are sought regarding the interpretation of the differences between the fractions and their implications for the tank's capacity.

Contextual Notes

Participants note that the discussion is constrained by the requirement not to provide complete solutions, leading to a focus on reasoning and questioning rather than definitive answers.

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Homework Statement


A tank was 3/4 full of oil. 100 litres of oil were then used. If it was then 2/3 full, how many litres does the tank hold when full


Homework Equations





The Attempt at a Solution


umm, I am not even sure how to get started, i know that 3/4 = 75% and 2/3 = 66.6%
but can't quite wrap my head around it. so yea, i need some help, thanks in advance
 
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tehmatriks said:

Homework Statement


A tank was 3/4 full of oil. 100 litres of oil were then used. If it was then 2/3 full, how many litres does the tank hold when full


Homework Equations





The Attempt at a Solution


umm, I am not even sure how to get started, i know that 3/4 = 75% and 2/3 = 66.6%
but can't quite wrap my head around it. so yea, i need some help, thanks in advance

If 0.1 liters is the difference between those two fractions, how much is 100% ?
 
Let x = the number of liters in a full tank.

Now convert these sentences into one equation.
A tank was 3/4 full of oil. 100 litres of oil were then used. It was then 2/3 full.
 
Hi:

The difference between a tank that is 3/4 full and a tank that is 2/3 full is 100 litres. The word "difference" implies 'subtract'. So if (3/4 - 2/3) = 100l, what is the volume of the whole tank?
 
accystan said:
Hi:

The difference between a tank that is 3/4 full and a tank that is 2/3 full is 100 litres. The word "difference" implies 'subtract'. So if (3/4 - 2/3) = 100l, what is the volume of the whole tank?
As stated, this isn't much help. Your equation above says that 3/4 - 2/3 = 100L, which isn't true.
 
Mark44 said:
As stated, this isn't much help. Your equation above says that 3/4 - 2/3 = 100L, which isn't true.

I'm not sure why you're saying this is not true. Can you explain why?

Continuing...

If 3/4 - 2/3 = 100 l.

then 1/12 = 100 l.

and tank capacity is 1200 l.
 
accystan said:
I'm not sure why you're saying this is not true. Can you explain why?

Continuing...

If 3/4 - 2/3 = 100 l.

then 1/12 = 100 l.

and tank capacity is 1200 l.

Since when does the number 1/12 equal 100? That is what you are saying. I know what you are thinking, and I suspect Mark44 does too, but you are missing a crucial piece in your "equation."

And by the way, you're not supposed to post solutions here.
 
accystan said:
I'm not sure why you're saying this is not true. Can you explain why?

Continuing...

If 3/4 - 2/3 = 100 l.

then 1/12 = 100 l.

and tank capacity is 1200 l.

Now that you've shown complete solution to the OP...

What Mark44 is trying to say is that: "1/12 = 100l" is not a valid statement. 1/12 is a real number, how can it equal to 100l? 1/12 of what?
 

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