word problem question

label Algebra
account_circle Unassigned
schedule 1 Day
account_balance_wallet $5

The owner of a
oil truck loads the truck with gasoline and kerosene. The profit on each gallon of gasoline is
and on each gallon of kerosene it is
How many gallons of each fuel did the owner load if the profit was
Jun 7th, 2015

Thank you for the opportunity to help you with your question!

Let x be the number of gasoline and y be the number of gallons of kerosene loaded in the truck.

x+ y =5000.   Equation 1.

Profit from x gallons of gasoline= $0.15x

Profit from y gallons of kerosene= $0.14y


0.15x + 0.14y = 725.  Equation 2

Multiplying equation 1 by 0.15 and substact eq. 2 from it we get

0.15y - 0.14y = 5000x0.15 - 725

0.01y = 25

y = 25/0.01

y = 2500

Therefore y= 2500 gallons kerosene

Substituting in eq 1, we get

x= 5000- 2500 = 2500 gallons gasoline.

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 7th, 2015

thank you

Jun 7th, 2015

U r welcome.

Jun 7th, 2015

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