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Math Help - word problem

  1. #1
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    word problem

    Jack and Jill collect ladybugs. Jack collects only the ones with 2 spots and Jill collects only the ones with 7 spots. Jack has 5 more ladybugs than Jill. The total number of spots found on all their ladybugs is 100. How many ladybugs do Jack and Jill have in their combined collection?

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  2. #2
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    Quote Originally Posted by amywright00 View Post
    Jack and Jill collect ladybugs. Jack collects only the ones with 2 spots and Jill collects only the ones with 7 spots. Jack has 5 more ladybugs than Jill. The total number of spots found on all their ladybugs is 100. How many ladybugs do Jack and Jill have in their combined collection?

    Let x = #LB Jill collects

    Let x+5 = #LB Jack collects

    Let 7x = # spots on Jill's LBs

    Let 2(x+5) = # spots on Jack's LBs

    Let 100 = total # of spots

    7x+2(x+5)=100

    Can you finish this?
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  3. #3
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    no I still dont understand it.
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  4. #4
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    Quote Originally Posted by masters View Post
    Let x = #LB Jill collects

    Let x+5 = #LB Jack collects

    Let 7x = # spots on Jill's LBs

    Let 2(x+5) = # spots on Jack's LBs

    Let 100 = total # of spots

    7x+2(x+5)=100

    Can you finish this?
    Ok, here's the finish:
    7x+2x+10=100

    9x+10=100

    9x=90

    x=10

    So, Jill collects 10 (7 spotted LBs)

    Jack collects 10+5 = 15 (2 spotted LBs)

    Together, they collect 10(7)+2(15)=100 spotted LBs
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