A balanced scale has 3 marbles, 2 pennies, and 4 quarters on one side and 4 marbles, 2 quarters, and 1 penny on the other side. If pennies weigh one gram and quarters weigh
3 grams, find the weight of a marble. Explain or show your reasoning.

See image

Step-by-step explanation:

An equation is really like a scale with two equal things on both sides. You could use the idea of a scale and lift off the same amount from both sides to keep it balanced. But I will show you the algebra version. When we subtract the same thing from both sides that's how we work back to our answer while keeping the scale balanced.

Let m = weight of a marble

p = weight of a penny = 1 gram

q = weight of a quarter= 3 grams

The problem says how many of each marble, penny, quarter, then set them equal to each other. See image

the square root of what number? if you add that, then someone will probably answer the question.

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step-by-step explanation: