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"In order to complete a reading assignment on time, Terry planned to read 90 pages per day. However, she read only 75 pages per day at first, leaving 690 pages to be read during the last 6 days before the assignment was to be completed. How many days in all did Terry have to complete the assignment on time?(A) 15(B) 16(C) 25(D) 40(E) 46"

Respuesta :

Answer: Option 'B' is correct.

Step-by-step explanation:

Let the number of days at first Terry is reading be 'x'.

Number of pages she read per day at first = 75

Number of pages she read during the last 6 days = 690.

According to question, she planned

number of pages per day = 90

So, our equation becomes,

[tex]90(x+6)=75x+690\\\\90x+540=75x+690\\\\90x-75x=690-540\\\\15x=150\\\\x=\dfrac{150}{15}=10[/tex]

So, the total number of days in all to complete the assignment on time is 10+6=16 days.

Hence, option 'B' is correct.

Q&A Education