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anonymous

  • one year ago

Nancy left a bin outside in her garden to collect rainwater. She notices that 1 over 2 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. Show your work. Explain your answer in words.

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  1. anonymous
    • one year ago
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    @phi @mathmath333

  2. anonymous
    • one year ago
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    @imqwerty @dan915 @Elsa213 @JayJayTheWereWolfGal1

  3. phi
    • one year ago
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    does that say 1/2 gallons fills 2/3 of the barrel?

  4. anonymous
    • one year ago
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    Yes it does

  5. phi
    • one year ago
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    you could use ratios: 1/2 is to 2/3 as x is to 1 which says 1/2 gallon is to 2/3 of a bin as an unknown number of gallons (call it x) is to 1 (full) bin \[ \frac{ \frac{1}{2}}{\frac{2}{3}} = \frac{x}{1} \]

  6. phi
    • one year ago
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    or you could say 2/3 of a full bin is 1/2 gallon 2/3 x = 1/2 \[ \frac{2}{3} x= \frac{1}{2} \]

  7. anonymous
    • one year ago
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    OK the second one makes more sense

  8. phi
    • one year ago
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    to solve the second one, multiply both sides by 3/2 and simplify

  9. anonymous
    • one year ago
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    Multiply 12?

  10. anonymous
    • one year ago
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    @phi

  11. phi
    • one year ago
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    you should get \[x= \frac{3}{2}\cdot \frac{1}{2} = \frac{3}{4} \] 3/4 of a gallon will fill the bin.

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