Question

Kayla and Evelyn are reading the same book. At the beginning of the month, Kaylawas on page 19 and Evelyn was on page 49. Kayla will read 15 pages per day andEvelyn will read 9 pages per day. Let K represent the page of the book that Kayla ison at the end of t days into the month, and let E represent the page of the book thatEvelyn is on at the end of t days into the month. Write an equation for each situation,in terms of t, and determine whether Kayla or Evelyn is farther along in the bookafter 2 days.

Answer 1

K represent the page of the book that Kayla is on at the end of t days

E represent the page of the book that Evelyn is on at the end of t days

so,

At the beginning of the month:

Kayla was on page 19 and Evelyn was on page 49

During the month :

Kayla will read 15 pages per day and

Evelyn will read 9 pages per day

so,

K = 19 + 15 t

E = 49 + 9 t

So, after 2 days: t = 2

K = 19 + 15 * 2 = 19 + 30 = 49

E = 49 + 9 * 2 = 49 + 18 = 67

So, the difference between them = 67 - 49 = 18 pages

So,

Evelyn will be 18 pages farther along in the book than Kayla after 2 days