Emily and Lily are reading the same copy of the same book for a summer reading assignment.

Emily has already read 16 pages. Emily reads 22 pages per day until the book is finished.
Lily has already read 24 pages. Lily reads 18 pages per day until the book is finished.
One day, the two girls notice that they are on the same page. What page number are they on when they have read the same amount of the book?

Question

23-01-2020
Mathematics

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Emily and Lily are reading the same copy of the same book for a summer reading assignment.

Emily has already read 16 pages. Emily reads 22 pages per day until the book is finished.
Lily has already read 24 pages. Lily reads 18 pages per day until the book is finished.
One day, the two girls notice that they are on the same page. What page number are they on when they have read the same amount of the book?

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texaschic101 texaschic101 · Answer 1 · 2020-01-23T16:07:06+01:00

texaschic101 texaschic101

23-01-2020

Answer:

Step-by-step explanation:

emily : 16 + 22x....with x being the number of days

Lily : 24 + 18x

16 + 22x = 24 + 18x

22x - 18x = 24 - 16

4x = 8

x = 8/4

x = 2 <==== they will be on the same page in 2 days

16 + 22x = 16 + 22(2) = 16 + 44 = 60

24 + 18x = 24 + 18(2) = 24 + 36 = 60

and they will both be on page 60 <===

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topeadeniran2 topeadeniran2 · Answer 2 · 2021-08-04T17:54:43+02:00

They are both in page 60

Let the number of days that they used in reading till they are on the same page be represented by x.

Since Emily has already read 16 pages. Emily reads 22 pages per day until the book is finished. This can be represented as:

Emily = 16 + (22 × x) = 16 + 22x

Lily has already read 24 pages and she reads 18 pages per day until the book is finished. This can be represented as:

Lily = 24 + (18 × x) = 24 + 18x

Then, we will equate the two equations and this will be:

16 + 22x = 24 + 18x

Collect like terms

22x - 18x = 24 - 16

4x = 8

Divide both side by 4

4x/4 = 8/4

x = 2

Therefore, the number of days will be in 2 days time.

Then the page number will be gotten by choosing any of the equations and this will be:

= 16 + 22x

= 16 + 22(2)

= 16 + 44.

= 60

Also, 24 + 18x will be:

= 24 + 18(2)

= 24 + 36

= 60

They are both in page 60

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