algebra

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5 green balls and 2 red balls together weigh 10 pounds, and 1 green ball and 4 red balls together weigh 7 pounds. If all red balls weigh the same amount and all green balls weigh the same, then what is the weight of 8 red and 8 green balls together?

I'm not sure at all how to solve this one, either... please help in any way you can! Thanks! :-)

  • algebra -

    i kinda did ratios
    5:2 =10
    4:1 =7
    8:8 =?

    so then
    2 1/2:1 =5
    2:1/2 =3 1/2
    4:4 =?

  • algebra -

    The red ball weighs about 1.4
    the green ball weighs about 1.44

    So i think 8r and 8g ball weighs about 22.72

    This is not an exact measurement of each balls, just an estimate.

  • algebra -

    Wow... 1/2 of a ball. :-)

    I see what you were trying to get across... but our teacher never showed us a problem like this... so frustrating.

    I don't know if your ratio way is exactly right, but it is a good way to straighten out the info.

    Wait... I got something!
    Maybe it's...

    g is green and r is red.

    5g + 2r = 10
    g + 4r = 7

    Then, if we add those together and find out what one ball weighs individually, then you just multiply it by 8! I think I got it! :-)

  • algebra -

    thanks chopsticks.

    yeah that makes sense... i'm gonna try it.

  • Thanks! -

    Yes, Chopsticks, after trying the way I described in my last response, I got the same answers you have.

    Thank you for your help! :-)

  • algebra -

    i reposted it btw ok? :):):) just so you know.

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