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Help me solve this 5th grade word problem...

There are 490 fish total. Goldfish, Chichlids, and Swordtails.

There are 2x as many goldfish as chichlids and half as many swordtails as chichlids. How many of each type of fish?

 

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Re: Help me solve this 5th grade word problem...

  • I'm screwed.
    Warning No formatter is installed for the format bbhtml
  • 70 swordtails

    140 chichlids

    280 goldfish

    Wife, mom, attorney, blogger, runner - trying to learn to love all the good things in life!!
    "It's not a sprint, it's a marathon." - Alex & Ani bracelet
    My blog: Dodging Acorns
  • how the heck did u figure it out, I know its simple, but I can't figure it out??
    Baby Birthday Ticker Ticker
  • imagewedding18:
    I'm screwed.

    Yep.  I wouldn't even know where to begin on how to figure it out. Ugh.

    Warning No formatter is installed for the format bbhtml
  • kmm13kmm13 member
    Eighth Anniversary 5000 Comments Combo Breaker

    I got what Michele got.

    x = the number of chichlids

    2x is the # of goldfish

    1/2x is the number of swordtails

    so:

    x + 2x + (1/2)x = 490 (solve for x)

    (7/2)x = 490

    7x =  1080

    x = 140 (number of chichlids)

    and so forth.

  • I actually did it a different way, same result.

    2x - chichlids

    4x - goldfish

    x - swordtails.

    1x + 2x + 4x = 490

    7 * x = 490

    490/7 = 70  so x= 70, then plug that back in above (70 swordtails, 140 chichlids b/c that is 2 times x, then 280 is 4 times x). 

    no clue if i did it right or wrong but I got there ;-) 



    Wife, mom, attorney, blogger, runner - trying to learn to love all the good things in life!!
    "It's not a sprint, it's a marathon." - Alex & Ani bracelet
    My blog: Dodging Acorns
  • I don't understand either of your calculations...You guys are smaaahhht!!
    Baby Birthday Ticker Ticker
  • bwahaha - not quite. Just lucky sometimes. Usually word problems are my worst nightmare. To this day I have no clue how I managed to get a decent score on the LSAT. No freakin clue.
    Wife, mom, attorney, blogger, runner - trying to learn to love all the good things in life!!
    "It's not a sprint, it's a marathon." - Alex & Ani bracelet
    My blog: Dodging Acorns
  • asf619asf619 member
    Ancient Membership 5000 Comments 5 Love Its Combo Breaker
    imageKris&Jay08:

    There are 490 fish total. Goldfish, Chichlids, and Swordtails.

    There are 2x as many goldfish as chichlids and half as many swordtails as chichlids. How many of each type of fish?

    I hope this helps more than it confuses you! Ignore the 490 right now... We'll get to that later.

    There are 2x as many goldfish as chichlids.

    2 goldfish = 1 chichlid

    and half as many swordtails as chichlids. 

    1/2 swordtail = 1 chichlid
    but I've never seen a 1/2 fish swimming around, so I'll change the expression:
    2 chichlids = 1 swordtail

    So, knowing that... it stands that:

    4 goldfish = 1 swordtail 
    since 2x chichlids = # goldfish, and there are 2 chichlids for every 1 swordtail

    The smallest number of fish that this word problem could be talking about is 7.

    4 goldfish + 2 chichlids + 1 swordtail = 7 fish

    But, we have 490 fish! Now we have to figure out how many of each kind of fish we are really looking at. So, what do we have to multiply our 7 fish by to get 490? Or, what do we get when we divide 490 by 7? That is "x" ...

    7x = 490
    490 ? 7 = x
    490 ? 7 = 70

    So, we just solved for "x" ... x = 70! Now to work on how many of each kind of fish we have!

    4 goldfish + 2 chichlids + 1 swordtail = 7 fish
    4x + 2x + 1x = 7x

    GOLDFISH: 4 ? 70 = 280
    CHICHLIDS: 2 ? 70 = 140
    SWORDTALS: 
    ? 70 = 70

    Now, let's double-check!

    280 goldfish + 140 chichlids + 70 swordtails = 490 fish

    Yay! We did it!! :) 

    image
  • imageasf619:
    imageKris&Jay08:

    There are 490 fish total. Goldfish, Chichlids, and Swordtails.

    There are 2x as many goldfish as chichlids and half as many swordtails as chichlids. How many of each type of fish?

    I hope this helps more than it confuses you! Ignore the 490 right now... We'll get to that later.

    There are 2x as many goldfish as chichlids.

    2 goldfish = 1 chichlid

    and half as many swordtails as chichlids. 

    1/2 swordtail = 1 chichlid
    but I've never seen a 1/2 fish swimming around, so I'll change the expression:
    2 chichlids = 1 swordtail

    So, knowing that... it stands that:

    4 goldfish = 1 swordtail 
    since 2x chichlids = # goldfish, and there are 2 chichlids for every 1 swordtail

    The smallest number of fish that this word problem could be talking about is 7.

    4 goldfish + 2 chichlids + 1 swordtail = 7 fish

    But, we have 490 fish! Now we have to figure out how many of each kind of fish we are really looking at. So, what do we have to multiply our 7 fish by to get 490? Or, what do we get when we divide 490 by 7? That is "x" ...

    7x = 490
    490 ? 7 = x
    490 ? 7 = 70

    So, we just solved for "x" ... x = 70! Now to work on how many of each kind of fish we have!

    4 goldfish + 2 chichlids + 1 swordtail = 7 fish
    4x + 2x + 1x = 7x

    GOLDFISH: 4 ? 70 = 280
    CHICHLIDS: 2 ? 70 = 140
    SWORDTALS: 
    ? 70 = 70

    Now, let's double-check!

    280 goldfish + 140 chichlids + 70 swordtails = 490 fish

    Yay! We did it!! :) 

    You should be a teacher Alicia!!!!!

    Wife, mom, attorney, blogger, runner - trying to learn to love all the good things in life!!
    "It's not a sprint, it's a marathon." - Alex & Ani bracelet
    My blog: Dodging Acorns
  • asf619asf619 member
    Ancient Membership 5000 Comments 5 Love Its Combo Breaker
    imagemicheleNYC:

    You should be a teacher Alicia!!!!!

    I probably should have gone that route. 

    image
  • imageasf619:
    imagemicheleNYC:

    You should be a teacher Alicia!!!!!

    I probably should have gone that route. 

    me too.

    Wife, mom, attorney, blogger, runner - trying to learn to love all the good things in life!!
    "It's not a sprint, it's a marathon." - Alex & Ani bracelet
    My blog: Dodging Acorns
  • Indifferent

    This post has made me realize how terrible I am at math!

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