05-16-2006, 07:49 PM

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?

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05-16-2006, 07:49 PM

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?

stapel

05-16-2006, 08:59 PM

Hint: How much would two baseballs, a football, and a soccer ball weigh? So how much would just the two baseballs weigh?

Eliz.

__________

Edit: Ne'mind: Answer posted below.

Eliz.

__________

Edit: Ne'mind: Answer posted below.

Mrspi

05-16-2006, 10:33 PM

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?

I guess I would approach the problem this way:

let b = weight of one baseball

let f = weight of one football

let s = weight of one soccer ball

Then, from the statements in the problem, we have this:

b + f = 1.25

b + s = 1.35

f + s = 1.9

You can solve the first equation for f:

b + f = 1.25

f = 1.25 - b

You can solve the second equation for s:

b + s = 1.35

s = 1.35 - b

Now, substitute the expressions you have for f and s into the third equation:

f + s = 1.9

(1.25 - b) + (1.35 - b) = 1.9

Can you finish it now?

I guess I would approach the problem this way:

let b = weight of one baseball

let f = weight of one football

let s = weight of one soccer ball

Then, from the statements in the problem, we have this:

b + f = 1.25

b + s = 1.35

f + s = 1.9

You can solve the first equation for f:

b + f = 1.25

f = 1.25 - b

You can solve the second equation for s:

b + s = 1.35

s = 1.35 - b

Now, substitute the expressions you have for f and s into the third equation:

f + s = 1.9

(1.25 - b) + (1.35 - b) = 1.9

Can you finish it now?

soroban

05-16-2006, 10:40 PM

Hello, c4duffy!

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?

We have: \,\begin{array}{ccc}B\,+\,F\;\;\;\;=\;1.25 \\ B\,\;\;\;+\,S\;=\;1.35 \\ \;\;\;F\,+\,S\;=\;1.90\end{array}

Solve the system of equations:

\;\;\;B\,=\,0.35,\;F\,=\,0.90,\;S\,=\,1.00

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?

We have: \,\begin{array}{ccc}B\,+\,F\;\;\;\;=\;1.25 \\ B\,\;\;\;+\,S\;=\;1.35 \\ \;\;\;F\,+\,S\;=\;1.90\end{array}

Solve the system of equations:

\;\;\;B\,=\,0.35,\;F\,=\,0.90,\;S\,=\,1.00

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