Ms. Jones is buying raisins and peanuts. She needs 8 pounds total, and she wants to have 1.5 more pounds of peanuts than raisins. The solution to the equation below shows how she can determine the solution for n, the number of pounds of peanuts she should buy.
What explanations can be made for each of the three steps in the procedure?
Drag and drop the correct explanation next to each step.
Given: n+(n−1.5)=8
Step 1: 2n−1.5=8
Rational:Response area
Step 2: 2n=9.5
Rational:Response area
Step 3: n=4.75
Rational:
Step 1: The equation is simplified by combining like terms.
Step 2: The equation is further simplified by adding 1.5 to both sides to isolate the variable.
Step 3: The variable is solved by dividing both sides of the equation by 2, resulting in the solution for n.