Math Help please

Question

I need the answer so I can Get this assignment done heres the question

Jolie can read around 14 sentences per minute of her current novel. She wants to finish her reading before the movie comes out next week. If she has 17 pages left to read and each page has about 120 sentences, how many hours should Jolie set aside to complete her reading? Show your work to receive full credit.

Answer 1

To perform dimensional analysis, we use the multiplicative identity (that is, 1). When we multiply by 1, we do not change the value, but we may change the units.

For this problem (note: chose the one that allows units to cancel)

1 = (1 page) / (120 sentences) = (120 sentences) / (1 page)

1 = (1 hour) / (60 minutes) = (60 minutes) / (1 hour)

1 = (14 sentences) ( 1 minute) = (1 minute) / (14 sentences)

17 pages left

(17 pages ) * 1 * 1 * 1

(17 pages) * ( (120 sentences) / (1 page) ) * ( (1 minute) / (14 sentences) ) * ( (1 hour) / (60 minutes) )

(17)*(120)*(1/14)*(1/60) hours [other units cancel]

2.43 hours

2 hours and 26 minutes [rounded]

CHECK:

2 hours and 26 minutes

146 minutes

(146 minutes) * 1

(146 minutes) * ( (14 sentences) / (1 minute) )

(146 minutes) * ( ( 14 sentences) / (1 minute) ) * ( (1 page) / (120 sentences) )

(146)*(14)*(1/120) pages [other units cancel]

17.03 pages [close enough]

Answer 2

17x120/14 = about 145.7 minutes = about 145.7/60 = 2.43 hours

pages to read x sentences per page divided by sentences read per minute

then divide by 60 to get the number of hours