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if there are 3 cups and 8 cubes on one side of the scale and 7 cups and 4 cubes on the other side , how many cubes must be in each cup to maintain balance

Explantion:
 
equation:
 
Solution

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Steve S. | Tutoring in Precalculus, Trig, and Differential CalculusTutoring in Precalculus, Trig, and Diffe...
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3 C + 8 = 7 C + 4
 
Take away 3 C from both sides:
 
8 = 4 C + 4
 
Take away 4 cubes from both sides:
 
4(1) = 4 C

So each cup must hold 1 cube.