Question

Margie hiked a 17 7/8 mile trail.She stopped every 3 2/5 miles to take a picture.Which is the best estimate of the number of times she stopped ? A 4. B 6. C 7. D 8.

Answer 1

17 7/8÷3 2/5
143/8÷17/5
multiply by reciprocal
143/8×5/17= 715/136= 5.26 which is closer to
B. 6

Answer 2

Option B is the correct answer

Explanation:

Margie hiked a 17 7/8 mile trail.

`\texttt{Distance hiked by Margie = }17(7)/(8)=(17* 8+7)/(8)=(143)/(8)mile`

She stopped every 3 2/5 miles to take a picture.

`\texttt{Distance at which she stopped to take picture = }3(2)/(5)=(3* 5+2)/(5)=(17)/(5)mile`

`\texttt{Number of pictures taken = }\frac{\texttt{Distance hiked by Margie}}{\texttt{Distance at which she stopped to take picture}}\\\\\texttt{Number of pictures taken = }((143)/(8))/((17)/(5))=(715)/(136)=5.28`

So she can take maximum of 6 picture and minimum of 5 picture.

Option B is the correct answer