Question

Stephanie earned a total of 60 points with two darts landing in the first area and one dart landing in the second area one of Mark start landing in the first area in two and the second he score 75 points.Write a system of equations for their scores use x for the first area and Y for the second area

Answer 1

A system of equations to represent the darts game scores scenario is 2x + y = 60 for Stephanie's score and x + 2y = 75 for Mark's score, where x is the points for the first area and y for the second area.

Step-by-step explanation:

To create a system of equations that represents the scenario described, we need to assign variables to the first and second areas where the darts land. Let x represent the points scored in the first area and y represent the points scored in the second area.

We are given the following information:

• Stephanie earns 60 points with two darts in the first area and one dart in the second area.
• Mark scores 75 points with one dart in the first area and two in the second area.

Using the variables x and y, we can write the following system of equations:

1. 2x + y = 60 (Stephanie's score)
2. x + 2y = 75 (Mark's score)

The solution to this system of equations will give us the points for each area.