-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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In both solutions, the first step is to **subtract 7 from the total number of books** and the second step is to **divide the remaining number of books by 10** to find the number of books in each carton.

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**Naomi's solution:**
1. **Subtract 7** from both sides of the equation:
   $$
   10c + 7 - 7 = 127 - 7 \implies 10c = 120
   $$
2. **Divide by 10** to solve for $$ c $$:
   $$
   \frac{10c}{10} = \frac{120}{10} \implies c = 12
   $$

**Peter's solution:**
1. **Subtract 7** from the total number of books:
   $$
   127 - 7 = 120
   $$
2. **Divide by 10** to find the number of books per carton:
   $$
   120 \div 10 = 12
   $$

Both methods effectively isolate the number of books in the full cartons by first removing the smaller package of 7 books and then determining the quantity per carton by dividing the remaining books equally among the 10 cartons.
In both solutions, the first step is to subtract 7 from the total number of books, and the second step is to divide the remaining number of books by 10 to find the number of books in each carton.

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