-Ready Write and Solve Multistep Equations - Quir - Level 6 Neomi and Peter's teacher reacives an order of 127 books. The books are delivered in 10 full cartons and a smaller package containing 7 books. Naomi and Peter determine how many books are in each carton using different methods. How does Naomi's solution compare with Peter's solution? Complete the statement. In both solutions, the first step is to and the second step is to Naomi's solution: \( c= \) number of books in eoch full carton \[ \begin{aligned} 10 c+7 & =127 \\ -7 & -7 \\ 10 c & =120 \\ \frac{10 c}{10} & =\frac{120}{10} \\ c & =12 \end{aligned} \] Peter's solution: books in full cartons: \[ 127-7=120 \] books in each carton: \[ 120 \div 10 \times 12 \]
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The Deep Dive
In both solutions, the first step is to determine the total number of books minus the smaller package, which is done by subtracting 7 from 127. The second step is to figure out how many books are in each full carton, with Naomi doing this by solving the equation directly, while Peter divides the remaining total of 120 by 10. Naomi calculates the number of books per carton by rearranging the original equation, leading her to find that each carton has 12 books. Peter, on the other hand, computes this indirectly through subtraction and division, essentially confirming that there are indeed 12 books in each carton as well—but with a different approach!
