Problema Solution
Chandler, Joey, and Rachel are competing in a game to see who will get to eat the leftover cheesecake. Together, they earn a combined total of 114 points. If Rachel has 16 points more than Joey and Chandler has 26 points more than Joey, how many points did Joey get?
Answer provided by our tutors
let
c = the points Chandler has
j = the points Joey has
r = the points Rachel has
Together, they earn a combined total of 114 points:
c + j + r = 114
Rachel has 16 points more than Joey:
r = j + 16
Chandler has 26 points more than Joey:
c = 26 + j
by solving the system of equations:
c + j + r = 114
r = j + 16
c = 26 + j
we find:
c = 50 points
j = 24 points
r = 40 points
click here to see the step by step solution of the system of equations:
Joey got 24 points.