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nikkijoy

Arnold is about to go on a 500-mile car trip. His mechanic recommends that he buy a special highway engine oil that will save him 50 cents in gas for every 25 miles of the trip. This new oil, however, will cost $20. Is it worthwhile for Arnold to buy the oil if he has a coupon for $4 dollars off the price?

  • 10 months ago
  • 10 months ago

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  1. whpalmer4
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    figure out how many 25 mile segments there are in this trip. multiply that number by 50 cents. compare that number with $20-$4. If it is larger, then using the special oil makes sense.

    • 10 months ago
  2. nikkijoy
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    500/25

    • 10 months ago
  3. whpalmer4
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    500/25 = ?

    • 10 months ago
  4. nikkijoy
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    20

    • 10 months ago
  5. whpalmer4
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    Great. How much is 20 * 50 cents?

    • 10 months ago
  6. nikkijoy
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    1000

    • 10 months ago
  7. whpalmer4
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    how many dollars is that?

    • 10 months ago
  8. nikkijoy
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    10?

    • 10 months ago
  9. whpalmer4
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    you're not sure? how many cents in a dollar?

    • 10 months ago
  10. nikkijoy
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    100

    • 10 months ago
  11. whpalmer4
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    how much is 20 set of 2 quarters?

    • 10 months ago
  12. whpalmer4
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    $10, right?

    • 10 months ago
  13. nikkijoy
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    right

    • 10 months ago
  14. whpalmer4
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    so, does it make sense to buy the special oil?

    • 10 months ago
  15. nikkijoy
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    no

    • 10 months ago
  16. whpalmer4
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    you can save $10 over the course of the trip. would you pay $16 for that?

    • 10 months ago
  17. whpalmer4
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    good :-)

    • 10 months ago
  18. nikkijoy
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    thankyou

    • 10 months ago
  19. whpalmer4
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    you're welcome.

    • 10 months ago
  20. whpalmer4
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    for a little puzzle to test your understanding, try to figure out how many cents per 25 miles you would have to save for it to be worth buying the special oil.

    • 10 months ago
  21. whpalmer4
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    or how far you would have to drive with this oil for it to be worth it...

    • 10 months ago
  22. nikkijoy
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    hmmm 12.50

    • 10 months ago
  23. whpalmer4
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    20 segments * x cents/segment = $16 — that's the break-even point for purchasing the special oil $16/20 = $0.8 or 80 cents gas savings per 25 miles to make it worthwhile. for the second one, if we save 50 cents per 25 miles, and we need to save $16, the number of 25 mile segments to be driven is $16/50 cents = $16/$0.5 = 32 segments, or 32*25 = 800 miles

    • 10 months ago
  24. nikkijoy
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    ohhh okay i jus did 25/2 lol silly me

    • 10 months ago
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