Problema Solution
alphonse, olaf, and Mortimer have $51 together. find out how much each has if alphonse has one half what olaf and Mortimer have combined and Mortimer has $3 more than alphonse
Answer provided by our tutors
let
a = the money that Alphonse has
o = the money Olaf has
m = the money Mortimer has
Alphonse, Olaf, and Mortimer have $51 together
a + o + m = 51
Alphonse has one half what Olaf and Mortimer have combined
a = (1/2)(o + m)
Mortimer has $3 more than Alphonse
m = a + 3
by solving the system of equations
a + o + m = 51
a = (1/2)(o + m)
m = a + 3
we find
a = $17
o = $14
m = $20
click here to see the step by step solution of the system of equations
Alphonse has $17.
Olaf has $14.
Mortimer has $20.