Arithmetic problem: What is the capacity of each Breaker"?

In summary, the conversation involves finding the capacity of each beaker of oil and water given a total combined amount of 66 litres. Without more information, there are multiple possible solutions, assuming that all the beakers of oil have the same capacity and all the beakers of water have the same capacity.
  • #1
Penguin1
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I have 6 beaker of oil and 12 breaker of water, the total amount combined are 66 litres .
What is the capacity of each Breaker"?
 
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  • #2
Without more information, we will get an infinite number of ordered pairs that will satisfy the problem. I am assuming that the beakers containing oil all have the same capacity, and the beakers containing water all have the same capacity...and if we let $O$ be the capacity of the beakers containing oil, and $W$ be the capacity of the beakers containing water, we may state:

\(\displaystyle 6O+12W=66\)

Divide through by 6:

\(\displaystyle O+2W=11\)

Even if we restrict ourselves to the positive integers, we have numerous solutions:

\(\displaystyle (O,W)=(1,5),\,(3,4),\,(5,3),\,(7,2),\,(9,1)\)
 

FAQ: Arithmetic problem: What is the capacity of each Breaker"?

1. What is the definition of "capacity" in the context of Breakers?

In the context of Breakers, capacity refers to the maximum amount of electrical current that a breaker can safely handle without tripping or causing damage.

2. How is the capacity of a Breaker determined?

The capacity of a Breaker is determined by its amperage rating, which is usually labeled on the breaker itself. This rating indicates the maximum amount of current that the breaker can handle without tripping.

3. Why is it important to know the capacity of each Breaker?

Knowing the capacity of each Breaker is important for ensuring the safe and efficient use of electrical circuits. Overloading a Breaker can lead to power outages, electrical fires, and other hazards.

4. Can the capacity of a Breaker be increased?

No, the capacity of a Breaker cannot be increased. It is determined by its amperage rating and should never be exceeded. If more electrical current is needed, a larger capacity Breaker should be installed.

5. What happens if the capacity of a Breaker is exceeded?

If the capacity of a Breaker is exceeded, it will trip and cut off the flow of electricity to the circuit. This is a safety measure to prevent damage to the wiring and appliances, and to prevent electrical fires.

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