SOLUTION: Please help me figure out how to solve this problem. Together a baseball and a football weigh 1.25 pounds, the baseball and soccer ball weigh 1.35 pounds, and the football and t

Question 257654: Please help me figure out how to solve this problem.
Together a baseball and a football weigh 1.25 pounds, the baseball and soccer ball weigh 1.35 pounds, and the football and the soccer ball weigh 1.6 pounds. How much does each of the balls weigh?
Thank you!
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Start by assigning variables to the unknown quantities:
B = weght of baseball.
S = weight of soccer ball.
F = weight of football.
From the problem description:
1) B+F = 1.25 lbs.
2) B+S = 1.35 lbs.
3) F+S = 1.6 lbs.
Now you have a system of three equations with three unknowns and this is solvable.
Rewrite equation 1) as (B = 1.25-F) and substitute into equation 2) to get:
2a) (1.25-F)+S = 1.35
Now rewrite equation 3) as (S = 1.6-F) and substitute into equation 2a) to get:
2b) (1.25-F)+(1.6-F) = 1.35 Simplify and solve for F.
2c) 2.85-2F = 1.35 Add 2F to both sides.
2d) 2.85 = 1.35+2F Now subtract 1.35 from both sides.
2e) 1.5 = 2F Finally, divide both sides by 2.
The football weighs 0.75 lbs.
Now that you know the weight of the football (F = 0.75) you can substitute this into equations 1) and 3) to solve for B and S respectively.
I'll leave this for you to finish up.
Good luck!

RELATED QUESTIONS
I am stuggling with how to set this problem up in an equation to solve it. Together, a (answered by checkley77,rapaljer)

I have tried my best to solve the following word problem. i figured scince the basebaal (answered by Paul,wuwei96815)

62% of men consider themselves professional baseball fans. You randomly select 10 men and (answered by stanbon)

Good evening, I'm having a hard time understanding this problem if anyone can help me it... (answered by jim_thompson5910)

Venn Diagram 33 U.S. cities were surveyed 16 had baseball 17 had football 15 had (answered by stanbon)

I know I posted this wrong, but I hope some one can help me out with this: Here is... (answered by 303795)

Please help me solve this problem. Thanks in advance! A baseball is hit so that its... (answered by TimothyLamb)

Need help solving this problem On a football team, 7 out of every 9 players weigh 190... (answered by macston)

Please help me solve this probability problem, i am a little confused on how to get the... (answered by Boreal)