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anonymous

  • one year ago

James left a bin outside in his garden to collect rainwater. He notices that 1 over 4 gallon of water fills 2 over 3 of the bin. Write and solve an equation to find the amount of water that will fill the entire bin.

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  1. anonymous
    • one year ago
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    1/4 / 2/3 = x            1/4 * 3/2 = x  3/8 = x My answer . Am I on the right track?

  2. anonymous
    • one year ago
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    @jim_thompson5910 am I the right track here

  3. jim_thompson5910
    • one year ago
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    Yeah you'll start off with |dw:1434583598280:dw|

  4. jim_thompson5910
    • one year ago
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    solving for x and simplifying does give x = 3/8

  5. anonymous
    • one year ago
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    3/8+1/4? not sure

  6. jim_thompson5910
    • one year ago
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    no it's just 3/8

  7. anonymous
    • one year ago
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    thanks wasn't sure about the last part of it

  8. jim_thompson5910
    • one year ago
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    |dw:1434583806910:dw|

  9. jim_thompson5910
    • one year ago
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    let's fill the bin 2/3 full |dw:1434583824576:dw|

  10. jim_thompson5910
    • one year ago
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    we need 1/4 of a gallon to fill up 2/3 of the bin so we need 1/8 of a gallon to fill up 1/3 of the bin (I cut each fraction in half) |dw:1434583879585:dw|

  11. jim_thompson5910
    • one year ago
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    |dw:1434583894720:dw|

  12. jim_thompson5910
    • one year ago
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    since it takes 1/8 of a gallon to fill 1/3 of the bin it will take 3*(1/8) = 3/8 of a gallon to fill the entire bin (3/3 = 100% of the bin) |dw:1434583949270:dw|

  13. anonymous
    • one year ago
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    so basically we need 1/8 more to fill bin

  14. jim_thompson5910
    • one year ago
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    1/8 gets you a third of the way another 1/8 gets you 2/3 of the way 1/8+1/8 = 2/8 = 1/4

  15. jim_thompson5910
    • one year ago
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    and yet another 1/8 fills the entire bin 1/8+1/8+1/8 = 3/8

  16. anonymous
    • one year ago
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    got it

  17. anonymous
    • one year ago
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    follow now

  18. jim_thompson5910
    • one year ago
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    I'm just realizing that 8 pints = 1 gallon so 1 pint = 1/8 of a gallon

  19. jim_thompson5910
    • one year ago
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    you can think of this in terms of pints 1 pint gets you 1/3 of the way |dw:1434584139425:dw|

  20. jim_thompson5910
    • one year ago
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    |dw:1434584158707:dw|

  21. jim_thompson5910
    • one year ago
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    |dw:1434584170459:dw|

  22. anonymous
    • one year ago
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    love your explanation @jim_thompson5910

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