Question

if Maddie set up 15 rows of chairs in the cafeteria for her school's talent competition. In the first 10 rows, she set up 30 chairs on the left side of the middle aisle and x chairs on the right side. In the last 5 rows, she set up 20 chairs on the left side of the middle aisle and y chairs on the right side to make room for the sound crew. How many chairs will she set up?

Answer 1

Maddie will set up a total of 400 + 10x + 5y chairs, with x representing the number of chairs on the right side of the middle aisle in the first 10 rows, and y representing the number on the right side in the last 5 rows.

Step-by-step explanation:

If Maddie set up 15 rows of chairs in the cafeteria for her school's talent competition, and in the first 10 rows, she set up 30 chairs on the left side of the middle aisle and x chairs on the right side, the total number of chairs in the first 10 rows is 30 chairs per row times 10 rows plus 10x chairs (10 times the number of chairs per row on the right side, which is x).

In the last 5 rows, she set up 20 chairs on the left side of the middle aisle and y chairs on the right side. This gives us a total of 20 chairs per row times 5 rows plus 5y chairs (5 times the number of chairs per row on the right side, which is y).

Combining both sets of rows gives us a total of (30 * 10 + 10x) + (20 * 5 + 5y) chairs.

Simplifying, we have 300 + 10x + 100 + 5y, or 400 + 10x + 5y chairs in total.