Marcos had 15 coins in nickels and quarters. He had 3 more quarters than nickels. He wrote a system of equations to represent this situation, letting x represent the number of nickels and y represent the number of quarters. Then he solved the system by graphing. What is the solution?

There are 6 coins in nickels and 9 coins in quarters.

Step-by-step explanation:

Now, to find the solution.

According to question:

The number of nickels = .

The number of quarters =

So, the total number of coins:

He had 3 more quarters than nickels.

Thus,

.....(1)

Now, to get the solution:

Substituting the equation (1):

Subtracting both sides by 3 we get:

Dividing both sides by 2 we get:

The number of nickels = 6.

Now, substituting the value of in equation (1):

The number of quarters = 9.

Thus, there are 6 coins in nickels and 9 coins in quarters.

answer: 40.95

step-by-step explanation:

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints