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anonymous

  • one year ago

Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 3 liters of natural oil for every 2 liters of synthetic oil. If 198 liters of synthetic oil are used, how many liters of Petrolyn oil will be made?

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  1. anonymous
    • one year ago
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    I bet you are annoyed at this point of me but I just have this big packet of homework and I need help. @jim_thompson5910 If you can help thanks and if you cant its fine I understand

  2. jim_thompson5910
    • one year ago
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    so we'll have a proportion we need to set up first do you have a proportion? or are you stuck on that part?

  3. anonymous
    • one year ago
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    Im stuck on the proportion

  4. anonymous
    • one year ago
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    3/2=x/198?

  5. jim_thompson5910
    • one year ago
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    this will be the basic template \[\Large \frac{\text{amount of natural oil}}{\text{amount of synthetic oil}} = \frac{\text{amount of natural oil}}{\text{amount of synthetic oil}}\]

  6. anonymous
    • one year ago
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    so then it would be 2x=594?

  7. jim_thompson5910
    • one year ago
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    we know that " It contains 3 liters of natural oil for every 2 liters of synthetic oil" focus on one side, say the right side replace "natural oil" with 3 replace "synthetic oil" with 2 \[\Large \frac{\text{amount of natural oil}}{\text{amount of synthetic oil}} = \frac{\text{amount of natural oil}}{\text{amount of synthetic oil}}\] \[\Large \frac{3}{2} = \frac{\text{amount of natural oil}}{\text{amount of synthetic oil}}\]

  8. jim_thompson5910
    • one year ago
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    yeah you have the right idea, doing 2 more replacements gives \[\Large \frac{3}{2} = \frac{\text{amount of natural oil}}{\text{amount of synthetic oil}}\] \[\Large \frac{3}{2} = \frac{x}{198}\]

  9. jim_thompson5910
    • one year ago
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    and yes, when you cross multiply you will get 2x = 594

  10. anonymous
    • one year ago
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    right yes so then x would be

  11. anonymous
    • one year ago
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    x=297

  12. jim_thompson5910
    • one year ago
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    yep

  13. anonymous
    • one year ago
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    Thank you again

  14. jim_thompson5910
    • one year ago
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    297 isn't the amount of Petrolyn oil though 297 is the amount of natural oil

  15. anonymous
    • one year ago
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    so we addor?

  16. jim_thompson5910
    • one year ago
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    hmm let me think

  17. jim_thompson5910
    • one year ago
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    oh I'm overthinking, yeah we add amount of petrolyn oil = (amount of natural oil) + (amount of synthetic oil)

  18. anonymous
    • one year ago
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    so its 495

  19. jim_thompson5910
    • one year ago
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    correct

  20. anonymous
    • one year ago
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    great! :)

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