Problema Solution
Write two equations for each problem and solve by substitution.
Evan and June together owe their father $42.50. The amount June owes is11.90 less than three times the amount Evan owes. How much money does each owe?
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Answer provided by our tutors
let
e = the money that Evan owes to his father
j = the money that June owes to his father
Evan and June together owe their father $42.50 or this can be written as
e + j = 42.50
The amount June owes is 11.90 less than three times the amount Evan owes
j = 3e - 11.90
now have the following system of equations
e + j = 42.50
j = 3e - 11.90
The idea here is to solve one of the equations for one of the variables, and plug this into the other equation.
We plug j = 3e - 11.90 into e + j = 42.50 and have
e + (3e - 11.90) = 42.50
by solving we find
e = $13.6
click here to see the step by step solution of the equation for e
j = 3*e - 11.90
j = 3*13.6 - 11.90
j = $28.9
click here to see the calculation for j
Evan owes $13.6 to his father.
June owes $28.9 to his father.