anonymous
  • anonymous
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?
Algebra
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
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
jim_thompson5910
  • jim_thompson5910
so we'll have a proportion we need to set up first do you have a proportion? or are you stuck on that part?
anonymous
  • anonymous
Im stuck on the proportion

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anonymous
  • anonymous
3/2=x/198?
jim_thompson5910
  • jim_thompson5910
this will be the basic template \[\Large \frac{\text{amount of natural oil}}{\text{amount of synthetic oil}} = \frac{\text{amount of natural oil}}{\text{amount of synthetic oil}}\]
anonymous
  • anonymous
so then it would be 2x=594?
jim_thompson5910
  • jim_thompson5910
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 \[\Large \frac{\text{amount of natural oil}}{\text{amount of synthetic oil}} = \frac{\text{amount of natural oil}}{\text{amount of synthetic oil}}\] \[\Large \frac{3}{2} = \frac{\text{amount of natural oil}}{\text{amount of synthetic oil}}\]
jim_thompson5910
  • jim_thompson5910
yeah you have the right idea, doing 2 more replacements gives \[\Large \frac{3}{2} = \frac{\text{amount of natural oil}}{\text{amount of synthetic oil}}\] \[\Large \frac{3}{2} = \frac{x}{198}\]
jim_thompson5910
  • jim_thompson5910
and yes, when you cross multiply you will get 2x = 594
anonymous
  • anonymous
right yes so then x would be
anonymous
  • anonymous
x=297
jim_thompson5910
  • jim_thompson5910
yep
anonymous
  • anonymous
Thank you again
jim_thompson5910
  • jim_thompson5910
297 isn't the amount of Petrolyn oil though 297 is the amount of natural oil
anonymous
  • anonymous
so we addor?
jim_thompson5910
  • jim_thompson5910
hmm let me think
jim_thompson5910
  • jim_thompson5910
oh I'm overthinking, yeah we add amount of petrolyn oil = (amount of natural oil) + (amount of synthetic oil)
anonymous
  • anonymous
so its 495
jim_thompson5910
  • jim_thompson5910
correct
anonymous
  • anonymous
great! :)

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