Casey B. answered 03/26/19
Bachelors of Science in Anthropology from the University of Florida
So the math will be tricky as the weight of coins can vary:
All U.S. pennies (1-cent pieces) minted since 1982 weigh either 2.5 grams (0.088 ounces) or 3.11 grams (0.109). The 2.5 grams Lincoln Penny is composed of brass (95% copper, 5% zinc), while the 3.11 grams Union Shield is composed of copper-plated zinc (97.5% zinc, 2.5% copper). (www.cointrackers.com)
All U.S. quarters (25-cent pieces) minted since 1965 weigh 5.670 grams (0.200 ounces). US quarters have a diameter of 24.66 mm, a thickness of 1.75 mm, and are primarily composed of “clad sandwich” of copper (91.67%) on the inside with nickel (8.33%) plating on the outside. (www.cointrackers.com)
To see how much 2,400 pennies weighs, you would need to multiply 2,400 x 2.5g-3.11g (or 0.088-0.109 ounces). This would give you a range in weight since penny weights vary within 0.61g. Then, you would need to compare it to the weight of 96 quarters by multiplying 96 x 5.67g.
If you are concerned with calculations, you can punch these expressions into a calculator to make sure the answer is accurate.