Question 28923: I have tried my best to solve the following word problem. i figured scince the basebaal & football weigh 1.25, the bsaeball must weigh 1 pound and football 25 and soccer 35 I am really lost
Together, a baseball and a football weigh 1.25 pounds, the baseball and a soccer ball weigh 1.35 pounds, and the football and the soccer ball weigh 1.9 pounds. How much does each of the balls weigh?
Found 2 solutions by Paul, wuwei96815:
Answer by Paul(988)   (Show Source):
You can put this solution on YOUR website! Let baseball be x
Let football be y
Let soccerball be z
First equation: x+y=1.25
Second equation: x+z=1.35
Third equation: z+y=1.9
Solve for y in the first equation:
y=1.25-x (subsitution)
Apply subsitution in the third equation:
z+1.25-x=1.9
z-x=0.65 (set 1)
add set 1 to second equation:
z-x=0.65
x+z=1.35
--------
2z=2
z=1
1-x=0.65
x=0.35
y=1.25-0.35
y=0.9
Hence, a baseball weights 0.35 pounds, a football weights 0.9 pounds and a soccer ball weights 1 pound.
Paul.
Answer by wuwei96815(245) (Show Source):
You can put this solution on YOUR website! Let x=weight of baseball
Then 1.25-x=weight of football
Then 1.35-x=weight of soccer ball
Then 1.9=(1.25-x) + (1.35-x)
1.9 = 1.25 -x + 1.35 -x
1.9 = 2.60 -2x
1.9-2.6 = -2x
-0.7 = -2x
-0.7/-2 = x
0.35 = x (weight of baseball)
1.25 -x = 0.9 (weight of football)
1.35 -x = 1.0 (weight of soccer ball)
This problem was a little wordy, but I think that we solved it?
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