Question

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?

Answer 1

6 nickels and 9 quarters

Explanation:

x- nickels

y- quarters

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the 2 equations are:

• x+y=15
• y-x= 3

add up the 2 equations:

• 2y= 18
• y=9

then

• x= 15-9
• x=6