Finding the mass of a screw lab.

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SUMMARY

The discussion focuses on calculating the mass of a single screw using the masses of five cups containing different quantities of screws. Each cup has an equal mass, denoted as x, while each screw has an equal mass, denoted as y. To isolate the mass of the screws, participants suggest using methods such as the quadratic equation, elimination, or substitution to derive equations from the provided total masses of the cups. The total masses given are 28.70g, 32.20g, 37.60g, 45.80g, and 60.50g, which must be manipulated to find a unique solution for y.

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  • Understanding of basic algebraic equations
  • Familiarity with the quadratic equation
  • Knowledge of elimination and substitution methods
  • Concept of mass and weight in physics
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  • Study the quadratic equation and its applications in solving for variables
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This discussion is beneficial for students learning algebra, educators teaching mathematical problem-solving, and anyone interested in applying mathematical concepts to real-world scenarios involving mass and weight calculations.

jayjay713
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I have been given the masses of 5 cups, each with a different amount of screws inside. I am asked to find the mass of a single screw.

The cups themselves are all equal in mass and the screws are all equal in mass as well.

I know you are supposed to subtract the cups from each other to eliminate the mass of the cups and just get the screws masses. I am stuck and I can't seem to grasp the concept of how to solve this! Thanks for help.
 
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set the mass of one cup to x and mass of one screw to y
and solve for x and y using quadratic equation/elimination method/substitution method
 
would all the equations be equal to the same value? say a cup was 26.7 grams, what would the equation be?
 
you would have to give me all the info in the question for me to make an equation
 
bottle 1 = 28.70g
bottle 2 = 32.20g
bottle 3 = 37.60g
bottle 4 = 45.80g
bottle 5 = 60.50g
 
Last edited:
I am sorry but I can't really come up with an answer
It would just have infinite solutions with those assumptions you gave me

all I can say is that subtract the masses to get rid of the mass of cup, and find the common factor (but then it is a decimal in this case)
the mass of screw cannot be bigger than the common factor
 

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