Algebra-2

Let's assume the number of erasers is and the number of pencils is .

Step 1: Set up equations based on the number of items

We know that the total number of school supplies (pencils and erasers) is , so we have the equation:

Step 2: Set up equations based on the cost and price relationship

Let the cost of each eraser be dollars. Then the cost of each pencil is dollars.

He spent on erasers, and since the number of erasers is and the cost per eraser is , we have the equation , which implies

Substitute into , we get

From , we can express

Substitute into

First, expand the left side:

Click "Show Answer" to reveal the answer and analysis