Paulina has read 58 pages of the 234-page book she is doing a book report on for Language Arts. She plans to finish her book by
reading 25 pages each day. Using d for the number of days, write a two-step equation to model this situation that you could solve to find out how many days Paulina took to read the rest of her book. Multiple choice question. A) 25d – 58 = 234
B) 25d + 58d = 234
C) 25 + 58d = 234
D) 25d + 58 = 234
A is incorrect because you need to subtract the pages that have been read.
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B:
25d + 58d = 234
Combine Like Terms
83d = 234
Divide 83 from both sides
d = 83
B is incorrect because 58 pages aren't days, those are the pages read so this equation is overall incorrect.
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C:
25 + 58d = 234
Subtract 25 from both sides
58d = 209
Divide both sides by 58
d = 3.603 and so on
C is incorrect because, again, 58 isn't the days its the pages read.
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D:
25d + 58 = 234
Subtract 58 from 58 and 234
25d = 176
Divide 25 from both sides
d = 7.04
D is the correct answer because 25 is the days and 58 is the pages read. You subtracted 58 from each side, making the number of pages in the book go down because you read those pages. You also divided 176 (the pages left) by the days, so 7.04 is your answer. 7 is the answer rounded down. D is your answer.
