Lisa and Katie are playing a card game, and a total of 900 points has been scored. Lisa scored 400 more points than Katie. If you let l=
l=
the number of points that Lisa scored, and k=
k=
the number of points that Katie scored, then the problem can be represented by the system:
The problem can be represented by the following system of equations:
l + k = 900
l = k + 400
We can solve this system of equations step-by-step using the method of substitution.
To represent the problem as a system of equations, we can use the following information:
1. Lisa and Katie together scored a total of 900 points.
2. Lisa scored 400 more points than Katie.
Using this information, we can form the following equations:
Equation 1: l + k = 900 (Total points scored by Lisa and Katie together is 900)
Equation 2: l = k + 400 (Lisa's score is 400 more than Katie's score)
Now, you can solve this system of equations to find the values of l and k.
L+K=900
L=K+400