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Griffindore

  • one year ago

i need some help on proportions

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  1. Griffindore
    • one year ago
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    If 2 over 3 ton of gravel covers 3 over 4 of a driveway, how many tons of gravel are required to cover the entire driveway?

  2. SolomonZelman
    • one year ago
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    it depends on the driveway length

  3. Griffindore
    • one year ago
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    idk its 7th grade math

  4. SolomonZelman
    • one year ago
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    Are you given the length of the driveway?

  5. Griffindore
    • one year ago
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    no

  6. SolomonZelman
    • one year ago
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    Oh, no need for this length..... t- ton of gravel d-driveway \(\large\color{black}{ \displaystyle \frac{2}{3}t=\frac{3}{4}d }\)

  7. SolomonZelman
    • one year ago
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    So, you need to solve for d.

  8. Griffindore
    • one year ago
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    yes that is correct

  9. SolomonZelman
    • one year ago
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    (multiply both sides times 4/3) \(\large\color{black}{ \displaystyle \frac{2}{3}t\color{red}{\times \frac{4}{3}}=\frac{3}{4}d\color{red}{\times \frac{4}{3}} }\)

  10. Griffindore
    • one year ago
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    idk how but your supost to do it with proportions

  11. Griffindore
    • one year ago
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    ok i get it

  12. SolomonZelman
    • one year ago
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    good, so what will be your answer?

  13. Griffindore
    • one year ago
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    idk honestly im lost but i can multiply fractions but itll take me a sec

  14. Griffindore
    • one year ago
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    idk i got 1 1/3 and 1

  15. SolomonZelman
    • one year ago
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    \(\large\color{black}{ \displaystyle \frac{2}{3}t=\frac{3}{4}d }\) in this proportion, t is tons of gravel, and d is the driveway. \(\large\color{black}{ \displaystyle \frac{2}{3}t\color{red}{\times \frac{4}{3}}=\frac{3}{4}d\color{red}{\times \frac{4}{3}} }\) i multiplied times 4/3 to isolate the d (the driveway), because you have to find the number of tons of gravel per a driveway. \(\large\color{black}{ \displaystyle \frac{2}{3}t\color{red}{\times \frac{ 4}{3}}=\frac{\cancel3}{\bcancel4}d\color{red}{\times \frac{\bcancel 4}{\cancel3}} }\) 4's and 3's cancel. \(\large\color{black}{ \displaystyle \frac{2}{3}t\color{red}{\times \frac{ 4}{3}}=d }\) and then multiply the fractions \(\large\color{black}{ \displaystyle \frac{2}{3}\times \frac{ 4}{3} \times t=d }\) \(\large\color{black}{ \displaystyle \frac{2\times4}{3\times3}t=d }\)

  16. SolomonZelman
    • one year ago
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    and then what do you get? (how many tons of gravel, t, do you need, in order to cover the driveway, d?)

  17. Griffindore
    • one year ago
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    8/6 or 1 1/3

  18. SolomonZelman
    • one year ago
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    3×3=9, (not 6)

  19. SolomonZelman
    • one year ago
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    so it is 8/9

  20. Griffindore
    • one year ago
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    oh my bad so 8/9

  21. Griffindore
    • one year ago
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    ya lol

  22. SolomonZelman
    • one year ago
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    so you need 8/9ths tons of gravel to cover a driveway

  23. SolomonZelman
    • one year ago
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    yw.

  24. Griffindore
    • one year ago
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    can you help me with one more

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