Yesterday, Sharon read 14 pages of a book. Today, she continued reading the book at the same speed. She read 10 pages in 35 minutes. How much time did she spend reading the book yesterday?

Sharon spent a total of 49 minutes yesterday reading the book

Step-by-step explanation:

Step 1: Calculate the rate at which she reads

The total number of pages she reads at any given time interval can be expressed as;

T=P*m

where;

T=Total number of pages she reads

P=the rate at which she reads in number of pages per minute

m=total number of minutes she takes reading a book

In our case;

T=10 pages

P=p

m=35 minutes

replacing;

10=p*35

p=10/35

p = (10/35)

The rate at which she reads = (10/35) pages per minute

Step 2: Calculate the time she spent reading the book yesterday

Yesterdays variables are as follows;

T=14 pages

p = (10/35) pages per minute

m=unknown

replacing;

14 = (10/35) * m

m=14 * (35/10)

m=49

Sharon spent a total of 49 minutes yesterday reading the book