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- anonymous

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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- anonymous

- jamiebookeater

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- whpalmer4

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.

- anonymous

500/25

- whpalmer4

500/25 = ?

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- anonymous

20

- whpalmer4

Great. How much is 20 * 50 cents?

- anonymous

1000

- whpalmer4

how many dollars is that?

- anonymous

10?

- whpalmer4

you're not sure? how many cents in a dollar?

- anonymous

100

- whpalmer4

how much is 20 set of 2 quarters?

- whpalmer4

$10, right?

- anonymous

right

- whpalmer4

so, does it make sense to buy the special oil?

- anonymous

no

- whpalmer4

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

- whpalmer4

good :-)

- anonymous

thankyou

- whpalmer4

you're welcome.

- whpalmer4

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.

- whpalmer4

or how far you would have to drive with this oil for it to be worth it...

- anonymous

hmmm 12.50

- whpalmer4

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

- anonymous

ohhh okay i jus did 25/2 lol silly me

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