Question

naomi and peter’s teacher receives 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 each full carton 10c + 7 = 127 -7 -7 10c = 120 (10c)/10 = 120/10 c = 12 peter’s solution: books in full cartons: 127 - 7 = 120 books in each carton: 120 ÷ 10 = 12

Explanation:

Step1: Analyze first common step

Both Naomi subtracts 7 from both sides of her equation, and Peter subtracts 7 from the total number of books to find the total in full cartons. This is isolating the carton total.
Expression: $127 - 7 = 120$ (Peter) / $10c + 7 - 7 = 127 - 7$ (Naomi)

Step2: Analyze second common step

Both divide the total number of books in full cartons by 10 to find the number per carton. This is solving for books per carton.
Expression: $120 \div 10 = 12$ (Peter) / $\frac{10c}{10} = \frac{120}{10}$ (Naomi)

Answer:

In both solutions, the first step is to subtract 7 from the total and the second step is to divide by 10.