Creating Algebraic Equations from Word Problems

What equation models the situation described?

A soccer coach buys a soccer ball and water bottle for each of the 18 members on the team. Each soccer ball costs $15. The coach spends a total of $324. Let w represent the cost of 1 water bottle.

Equation to Model the Situation:

270 + 18w = 324

The question relates to creating a basic algebraic equation from a word problem. Given the data about how much the coach spent in total and on each soccer ball, we can derive the equation 270 + 18w = 324 to solve for the cost of each water bottle.

Explanation:

The subject of the question is Mathematics and is likely suitable for a Middle School grade level. It involves setting up a basic algebraic equation for a given word problem. Considering the problem, the soccer coach spends $15 on each soccer ball for 18 members on the team, resulting in a total of $270 (15 * 18) spent on soccer balls.

This cost is part of the total $324. The rest is spent on water bottles. So if we let w represent the cost of one water bottle, our equation will be: 270 + 18w = 324. This equation can be solved to find the cost of one water bottle.