Question

Alfred has twelve coins in his piggy bank. Some of the coins are quarters, some are nickels, and he has a total of $3.15. Which system of equations can be used to determine how many quarters, x, and how many nickels, y, he has?

Please don't answer unless you know the answer.

Answer 1

To determine how many quarters and nickels Alfred has, a system of equations can be set up based on the given information. The equations would be 25x + 5y = 315 and x + y = 12.

Step-by-step explanation:

To determine how many quarters, x, and how many nickels, y, Alfred has, we can set up a system of equations based on the given information.

Let's assume that Alfred has x quarters and y nickels.

The value of x quarters is 25x cents, and the value of y nickels is 5y cents.

The total value of the coins is $3.15, which is equivalent to 315 cents.

So, the first equation is: 25x + 5y = 315

Since Alfred has a total of twelve coins, the second equation is: x + y = 12

These are the two equations that can be used to determine how many quarters and nickels Alfred has.