Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and beginning April 20th, 2021 (Eastern Time) the Yahoo Answers website will be in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.

algebra homework, help please?

you pay $24.50 for 10 gallons of gas and 1 quart of oil at the gas station. your friend pays $22 for 8 gallons of the same gas and 2 quarts of the same oil. find the cost of one gallon of oil?

please explain! :]

2 Answers

Relevance
  • 1 decade ago
    Favorite Answer

    You want the price for a *gallon* of oil? That would be 4 x the price of a quart,

    Let x = the price of a gallon of gas. Let y = the price of a quart of oil.

    10x + y = 24.50, which becomes y = -10x + 24.50 for graphing/table purposes

    8x + 2y = 22, or 2(4x + y) = 22, or 4x + y = 11, which becomes

    y = -4x + 11 for graphing/table purposes

    if we assume that x and y are the same values in both equations, we can graph the two equations and find the point of intersection, which is the point (2.25,2). This tells us that the only prices for gas and oil that fit both situations are $2.25/gal for gas (I wish!) and $2/qt for oil.

    If you need to find the price of a gallon of oil, you multiply the per qt. price by 4 (because there are 4 qts in a gal.), and you get $8 for a gallon of oil.

    Whew!

  • Anonymous
    1 decade ago

    8x + 2y = 22

    10x + 1y = 24.50

    y = 2

    x = 2.25

    i'm not really sure how to say i got that i just plugged numbers in and that one works... sorry :S

Still have questions? Get your answers by asking now.