Question

Please help I'm stuck on this word problem

https://gyazo.com/3a2784f2adba764e112b7bd309a10590

Answer 1

Let x=the amount of fuel produced in Houston and let y=the amount produced in Tulsa.
Think about how you might write 2 separate equations involving x and y to answer this question.

Answer 2

how much is say... 60% of 300,000?

Answer 3

180,000 right?

Answer 4

yes.. how did you get it though?

Answer 5

300,000(.60)

Answer 6

Let's just focus on Chicago for now

how much, as a percentage, does Chicago get from the Houston refinery?

Answer 7

60%

Answer 8

so if x is the amount Houston produces, then Chicago gets 0.60*x = 0.6x gallons just from Houston alone

agreed? or no?

Answer 9

agree

Answer 10

how much does Chicago get from Tulsa (as a percentage)

Answer 11

30%

Answer 12

if y = amount Tulsa produces

then Chicago gets 0.30*y = 0.3y gallons from Tulsa alone

Answer 13

agree

Answer 14

in summary so far

Chicago gets 0.6x gallons just from Houston alone
Chicago gets 0.3y gallons from Tulsa alone

combine those expressions to get

0.6x+0.3y

Answer 15

`0.6x+0.3y` represents the total number of gallons that go to Chicago

we're told that Chicago got `300,000` gallons

so we equate the two expressions since they represent the same thing, so,

0.6x+0.3y = 300,000

is the first equation you set up in the system of equations

Answer 16

does this make sense so far?

Answer 17

yes it does

Answer 18

ok use this kind of reasoning to set up the equation for LA

Answer 19

alright thank you for your help

Answer 20

np