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nikkijoy

  • one year ago

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?

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  1. whpalmer4
    • one year ago
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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.

  2. nikkijoy
    • one year ago
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    500/25

  3. whpalmer4
    • one year ago
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    500/25 = ?

  4. nikkijoy
    • one year ago
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    20

  5. whpalmer4
    • one year ago
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    Great. How much is 20 * 50 cents?

  6. nikkijoy
    • one year ago
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    1000

  7. whpalmer4
    • one year ago
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    how many dollars is that?

  8. nikkijoy
    • one year ago
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    10?

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

  10. nikkijoy
    • one year ago
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    100

  11. whpalmer4
    • one year ago
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    how much is 20 set of 2 quarters?

  12. whpalmer4
    • one year ago
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    $10, right?

  13. nikkijoy
    • one year ago
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    right

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

  15. nikkijoy
    • one year ago
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    no

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

  17. whpalmer4
    • one year ago
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    good :-)

  18. nikkijoy
    • one year ago
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    thankyou

  19. whpalmer4
    • one year ago
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    you're welcome.

  20. whpalmer4
    • one year ago
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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.

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

  22. nikkijoy
    • one year ago
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    hmmm 12.50

  23. whpalmer4
    • one year ago
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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

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

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