Number of Science Exercises: 6 Number of Math Exercises: 12
Practice makes perfect
We are told that there are total of 18 math and science exercises to do. If we let m be the number of math exercises and s be the number of science exercises, we can write an equation to represent the situation.
Total of 18 math and science exercises
18 = m + s
We can rearrange this equation, so it will be easier to plot it later.
m=- s+18We also know that there are 6 more math exercises than science exercises. We will write another equation to represent this information. Note that there are 6 more math exercises. Therefore, in order to write an equality sign we have to add 6 to the side that represents science exercises.
6 more math exercises than science exercises
m= s + 6
Let's graph both equations and find the point of intersection.
From the graph, we can see that the solution, or point of intersection, to this system of equations is the point (6,12). However, we should check the point by substituting it into the equations. Let's start with the first one.
