SOLUTION: Jordan, Sarah, and Eric went trick-or-treating on Halloween. Altogether, they collected 47 pieces of candy. Sarah collected six more than two times the number of pieces of candy co

Algebra ->  Human-and-algebraic-language -> SOLUTION: Jordan, Sarah, and Eric went trick-or-treating on Halloween. Altogether, they collected 47 pieces of candy. Sarah collected six more than two times the number of pieces of candy co      Log On


   

Question 1095744: Jordan, Sarah, and Eric went trick-or-treating on Halloween. Altogether, they collected 47 pieces of candy. Sarah collected six more than two times the number of pieces of candy collected by Jordan. Eric collected seven less than the number of pieces of candy collected by Jordan. How much candy did Eric collect?
Found 2 solutions by josgarithmetic, rfer:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
j  Jordan
s  Sarah
e  Eric

system%28j%2Bs%2Be=47%2C2j%2B6=s%2Ce=j-7%29

Handle the system any way you want or need.
Substitution should be easiest, since last two equations are in term j.

Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
x=Jordan
2x+6=Sarah
x-7=Eric
x+2x+6+x-7=47
4x-1=47
4x=47+1
x=48/4
x=12 Jordan
x-7=5 Eric
2x+6=30 Sarah