SOLUTION: Madison, Abigail, and Brian spent $1,182 to buy their dad a computer. The three of them used their savings to pay for the computer. Abigail paid $142 more than Madison. Madison pai

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Madison, Abigail, and Brian spent $1,182 to buy their dad a computer. The three of them used their savings to pay for the computer. Abigail paid $142 more than Madison. Madison pai      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 169633: Madison, Abigail, and Brian spent $1,182 to buy their dad a computer. The three of them used their savings to pay for the computer. Abigail paid $142 more than Madison. Madison paid $353 less than Brian. How much did Brian pay?
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
let what madison, abigail, and brian spent be m,a,b respectively.
:
m+a+b=1182...eq 1
a=m+142......eq 2
b=m+353......eq 3
:
take the value of a in eq 2 and the value of b in eq 3 and plug them into the 3rd equation.
:
m+(m+142)+(m+353)=1182
:
3m+495=1182
:
3m=687:
m=229dollars mary spent
using eq 2:a=229%2B142=371%29 dollars abigail spent
:
using eq 1:highlight%28b=229%2B353=582%29dollars BRIAN spent