Three friends share money

Question

Jason Darcy and Maria share $268.Jason has $29 more than Darcy and Maria has twice as much as Jason. How much money do Darcy and Jason have altogether

Answer 1

Allow J=Jason, D=Darcy and M=Maria.  We need to set up a series of equations:

 

J-29 = D (Jason has 29 more dollars than Darcy)

M = 2J  (Marcy has twice as much as Jason)

J + D + M = 268 (they share 268 dollars

 

This provides a system of 3 equations in s 3 variables.  The easiest way to solve this is to substitue the values of D and M (in terms of J) from the first 2 equations into the third:

 

J + (J-29) + (2J) = 268  and solve with algebra

4J = 297

J= 297/4 = 74.25 substitute this for J in the first 2 equations

D=74.25 - 29 = 45.25

M = 2(74.25) = 148.50

 

Therefore Darcy and Jason have 74.25+45.25 = 119.50