Answer:
<u>1. Nora and Lila be on the same page of the book after 6 days and a half.</u>
<u>2. Nora and Lila be on the page 180.</u>
Step-by-step explanation:
1. Let's check the information given to resolve the question:
Current page of the novel that Nora is reading now = 128
Pages per day Nora reads = 8
Current page of the novel that Lila is reading now = 102
Pages per day Lila reads = 12
Days ahead for Nora and Lila will be on the same page = x
2. After how many days of reading will Nora and Lila be on the same page of the book?
128 + 8x = 102 + 12x
8x - 12x = 102 - 128 (Subtracting 12x and 128 at both sides)
-4x = -26
x = 6.5
<u>Nora and Lila be on the same page of the book after 6 days and a half.</u>
<u>3.</u> What page will they be on?
Nora : 128 + 8 (6.5) = 128 + 52 = 180
Lila : 102 + 12 (6.5) = 102 + 78 = 180
<u>Nora and Lila be on the page 180</u>
63 + 36...there is a common factor of 9
9(7 + 4) <== this is equivalent
63 + 36...there is a common factor of 3
3(21 + 12)...but this is not an answer choice...but it is equivalent
Since you keep proportional dimensions, the proportion between the old and new dimensions must be the same. So, if we call the new height , the preservation of the width/height ratio is written as
Solving the proportion for yields
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