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Question

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
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B
16
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C
25
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D
40
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E
46
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Solution

The correct option is D 16
Let the number of days Terry read at 75 pages/days be x.
Then the total number of pages = 75x + 690 and
The total number of days Terry took to complete the assignment = x+6
But from the first statement of the question stem. The total number of pages = 90*(x+6)
Since total number of pages in both the cases is equal
75x + 690 = 90x + 540. So 15x = 150 and x = 10.
Total number of days required = x+6 = 10+6 = 16 (option B)

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