Solve Problems Involving Addition, Subtraction, Multiplication and Division 3 - Reasoning

Rosie and Leanna are engaged in a mathematical exercise that involves creating and solving subtraction problems. The task presents a scenario where Rosie is subtracting two numbers, one of which is 960, to arrive at an answer. The exact numbers in Rosie's calculation are not provided, but we know that her result is three times greater than Leanna's. The challenge is to determine a possible subtraction question for Leanna that would yield a result that is one third of Rosie's answer. Two possible solutions are suggested: 960 - 290 or 1,630 - 960. These calculations would provide a result that, when multiplied by three, could match the answer to Rosie's subtraction problem.

The information given does not specify the exact answers to either Rosie's or Leanna's subtraction sentences, but the relationship between their answers is clear. Rosie's result is precisely three times the size of Leanna's. This problem-solving task encourages students to understand and apply the concept of multiplication and division in the context of subtraction. It requires them to reason and work backwards from a known product to find a possible factor, in this case, Leanna's subtraction result. The exercise is designed to deepen students' comprehension of the four operations—addition, subtraction, multiplication, and division—through practical application and reasoning.