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Rounding question - something bothering me

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by richewalsh » Thu Jan 29, 2015 2:51 pm
I got the question, right but one aspect is bothering me and I'm sure it is just an oversight or rookie mistake, but any help is much appreciated.

On a recent trip, Cindy drove her car 290 miles , rounded to the nearest 10 miles, and used 12 gallons of gasoline, rounded to the nearest gallon. The actual number of miles per gallon that Cindy's car got on this trip must have been between?

a - 290/12.5 and 290/11.5

b - 295/12 and 285/11.5

c - 285/12 and 295/12

d - 285/12.5 and 295/11.5

e - 295/12.5 and 285/11.5

The correct answer is d. I understand the range of putting the furthest distance with lowest mpg and closest with highest mpg. But I thought the 295 figure should have been 294. 295 would be rounded to 300 miles, no?

Minor issue, but has been bothering me. TIA
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Source: — Problem Solving |

by MartyMurray » Thu Jan 29, 2015 7:51 pm
What you are saying sounds right to me. 285 would be included but 295 would not. So the word between does not perfectly capture what is going on.

Not 294 though, 294.999999999. Also, the 12.5 should likewise be 12.4999999999.
Marty Murray
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