Problem

Nancy has $x$ books.
Braveen has triple the number of books Nancy has, plus 5 more books.
Cal has double the number of books Braveen has.
In total, they have 245 books.
Which equation represents the total number of books for all three people?
$10 x+15=245 \quad 10 x+5=245$
$7 x+10=245 \quad 6 x+5=245$

Answer

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Answer

\(\boxed{10x + 15 = 245}\) is the equation that represents the total number of books for all three people.

Steps

Step 1 :Nancy has \(x\) books, Braveen has \(3x + 5\) books, and Cal has \(2(3x + 5) = 6x + 10\) books.

Step 2 :The total number of books is \(x + (3x + 5) + (6x + 10) = 10x + 15\).

Step 3 :\(\boxed{10x + 15 = 245}\) is the equation that represents the total number of books for all three people.

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