mary had 15 coins in nickels and quarters she had 3 more quarters than nickels which system of equations represents this situation letting x represent the number of nickels and y represent the number of quarters

The problem states that Mary had 15 coins in nickels and quarters. This can be represented by the equation:

x + y = 15

The problem also states that she had 3 more quarters than nickels. Since each nickel is represented by x and each quarter is represented by y, this can be represented by the equation:

y = x + 3

So the system of equations representing this situation is:

x + y = 15
y = x + 3