Word problems in Linear equations help

[kashan123999]

Homework Statement

A baseball team won 54 more games than it lost. If the team played a total of 154 games and there were no ties, how many games did the team win?
(A) 50
(B) 98
(C) 100
(D) 102
(E) 104Correct Answer is

Homework Equations

ok so no. of games won = x ... no. of games lost = y... total games ... x + y = 154

But i couldn't figure out the subject of the first statement,couldn't make an equation of it

The Attempt at a Solution

tried a wild solution x+y = 154... x = y +54 (don't have a foggiest notion about that idea) ...substitution gave 50 which is incorrect...and i won't tell you the correct answer xD

 

[symbolipoint]

You can use exactly one variable. Let x be number of games lost. Use this to express how many games the team won. The team won 54 more games than it lost; the team won 54+x. Those are TWO numbers. x and x+54. Now, how many games did the team play?

 

[HallsofIvy]

Homework Statement

A baseball team won 54 more games than it lost. If the team played a total of 154 games and there were no ties, how many games did the team win?
(A) 50
(B) 98
(C) 100
(D) 102
(E) 104Correct Answer is

Homework Equations

ok so no. of games won = x ... no. of games lost = y... total games ... x + y = 154

But i couldn't figure out the subject of the first statement,couldn't make an equation of it

"A baseball team won 54 more games than it lost." so x is 54 larger than y: x= y+ 54.

The Attempt at a Solution

tried a wild solution x+y = 154... x = y +54 (don't have a foggiest notion about that idea) ...substitution gave 50 which is incorrect...and i won't tell you the correct answer xD

You won't tell us the correct answer? Why should we care?
No, "50" is NOT the correct answer to the question asked. I think you forgot how you had defined x and y!

 

[kashan123999]

"A baseball team won 54 more games than it lost." so x is 54 larger than y: x= y+ 54.


You won't tell us the correct answer? Why should we care?
No, "50" is NOT the correct answer to the question asked. I think you forgot how you had defined x and y!

ahan sorry yes you are spot on i forgot how i defined the variables...

so x + y = 154 x=y + 54 => y = x-54 putting this in x + y = 154

x + x - 54 = 154

2x = 208 => x = 104...the Correct answer