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:
Step 2: 2n=9.5
Rational:Response area
Step 3: n=4.75
Rational:
Step 1: 2n - 1.5 = 8
Rational: This step involves substituting the given equation into the equation from the previous step in order to simplify and solve for n.
Step 2: 2n = 9.5
Rational: This step involves adding 1.5 to both sides of the equation in order to isolate the variable term and solve for n.
Step 3: n = 4.75
Rational: This step involves dividing both sides of the equation by 2 in order to solve for the value of n.