Question

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?

Answer 1

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

Answer 2

so we'll have a proportion we need to set up first

do you have a proportion? or are you stuck on that part?

Answer 3

Im stuck on the proportion

Answer 4

3/2=x/198?

Answer 5

this will be the basic template

\[\Large \frac{\text{amount of natural oil}}{\text{amount of synthetic oil}} = \frac{\text{amount of natural oil}}{\text{amount of synthetic oil}}\]

Answer 6

so then it would be 2x=594?

Answer 7

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

\[\Large \frac{\text{amount of natural oil}}{\text{amount of synthetic oil}} = \frac{\text{amount of natural oil}}{\text{amount of synthetic oil}}\]

\[\Large \frac{3}{2} = \frac{\text{amount of natural oil}}{\text{amount of synthetic oil}}\]

Answer 8

yeah you have the right idea, doing 2 more replacements gives

\[\Large \frac{3}{2} = \frac{\text{amount of natural oil}}{\text{amount of synthetic oil}}\]

\[\Large \frac{3}{2} = \frac{x}{198}\]

Answer 9

and yes, when you cross multiply you will get 2x = 594

Answer 10

right yes so then x would be

Answer 11

x=297

Answer 12

yep

Answer 13

Thank you again

Answer 14

297 isn't the amount of Petrolyn oil though

297 is the amount of natural oil

Answer 15

so we addor?

Answer 16

hmm let me think

Answer 17

oh I'm overthinking, yeah we add

amount of petrolyn oil = (amount of natural oil) + (amount of synthetic oil)

Answer 18

so its 495

Answer 19

correct

Answer 20

great! :)