Question

At the end of April, Mandy told Bill that she has read 16 books this year and reads 2 books each month. Bill wants to catch up to Mandy. He tracks his book reading with a table on his door. Using his table below, what month will Bill have read the same amount of books as Mandy?
Month        Books
May-          4
June-         8
July-          12

Answer Choices:
A. September
B. October
C. August
D. December

Answer 1

Mandy Increases her books by 2 per month.
Bill increases his books by 4 per month.

Month     Mandy    Bill
May          18          4
June         20          8
July          22        12
August     24        16
Sept        26        20
Oct          28        24
Nov          30        28
Dec        32          32
At the end of December they will have read the same amount of books.

Answer 2

Answer:

Option D - December

Step-by-step explanation:

Given :  Mandy read 16 books this year and read 2 books each month.

Bill wants to catch up to Mandy and follow:

Month        Books

May-          4

June-         8                        

July-          12  

From this table bill increases his books by 4 per month.

and Mandy Increases her books by 2 per month.

Let x represent the no. of months (x=1 represent the May)

Therefore,

For Mandy who already read 16 books in the end of April and reads 2 books each month ⇒ 16+2x

For Bill he wants to catch Mandy so he started with reading 4 books in a month ⇒4x

The month will Bill have read the same amount of books as Mandy

16+2x=4x

⇒16=2x

⇒x=8

i.e, from May to 8 months ⇒December

Month(x)           Mandy(16+2x)       Bill(4x)

May(1)                    18                          4  

June(2)                  20                         8

July(3)                    22                        12

August(4)               24                        16

September(5)        26                        20

October(6)             28                        24

November(7)          30                        28

December(8)          32                        32

At the end of December they will have read the same amount of books.

Hence, Option D is correct.