SOLUTION: dmitry plays hockey. He earns 1 point for every goal he scores and 1 point for every assist. This season he earned 63 points. He scored 17 fewer goals than assist. How many goals d

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: dmitry plays hockey. He earns 1 point for every goal he scores and 1 point for every assist. This season he earned 63 points. He scored 17 fewer goals than assist. How many goals d      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1201201: dmitry plays hockey. He earns 1 point for every goal he scores and 1 point for every assist. This season he earned 63 points. He scored 17 fewer goals than assist. How many goals did dmitri score this season? How many assist did he have?
Found 2 solutions by mananth, greenestamps:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let x be the number of assists
y be the number of goals scored
x+y =63............1
He scored 17 fewer goals than assist.
y=x-17
x-y =17................2
Add 1 & 2
2x= 80
x =40
40 assists and
63-40 = 23 goals

Answer by greenestamps(13215) About Me  (Show Source):
You can put this solution on YOUR website!


Let x = # of goals
Then x+17 = # of assists

At 1 point each for both goals and assists, his point total was 63:

x+(x+17) = 63
2x+17 = 63
2x = 63-17 = 46
x = 46/2 = 23

# of goals: x = 23
# of assists: x+17 = 40

ANSWER: 40 assists