To find out how much a quarter weighs, we start with the information given in the question. We know that a nickel weighs 5 grams and that the weight of a nickel is 80% of the weight of a quarter.
We can represent the weight of the quarter as x. According to the problem statement, we have:
5 grams = 0.8 * x
Now, to solve for x, we can divide both sides of the equation by 0.8:
x = 5 grams / 0.8
Calculating this gives:
x = 6.25 grams
So, a quarter weighs 6.25 grams.