(4) 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 Morimer has $3 more than Alphonse.
SOLUTION:
(1) A = (O + M)/2 (2) A + 3 = M Substituting (2) into (1): A = (O + A + 3)/2 2A = O + A + 3 (3) A - 3 = O (4) A + O + M = 51 Substituting (2) and (3) into (4): A + A - 3 + A + 3 = 51 3A = 51 A = 17 O = 17 - 3 = 14 M = 17 + 3 = 20 Alphonse has $17, Olaf has $14, and Mortimer has $20.