Problema Solution
Erin's test score is three points lower than Sarah's score. The sum of their scores is 197. What is Erin's test score?
Larry and Michael scored a total of 48 points in the basketball game. If Michael scored twice the number of points Larry did, how many points did Larry score?
Answer provided by our tutors
let
x = Erin's test score
y = Sarah's test score
Erin's test score is three points lower than Sarah's score:
x = y - 3
The sum of their scores is 197:
x + y = 197
by solving the system of equations:
x = y - 3
x + y = 197
we find:
x = 97 points
y = 100 points
click here to see the step by step solution of the system of equations:
Erin's test score is 97 points.
let
l = the number of points Larry scored
m = the number of points Michael scored
Larry and Michael scored a total of 48 points in the basketball game:
l + m = 48
Michael scored twice the number of points Larry did:
m = 2l
plug m = 2l into l + m = 48:
l + 2l = 48
by solving we find:
l = 16 points
click here to see the step by step solution of the equation:
Larry scored 16 points.