Q:

The soccer team collected $800 at a car wash fundraiser. They charged $5.00 for small vehicles and $10.00 for larger vehicles. The amount collected can be modeled by the equation. What is the equation?

Accepted Solution

A:
Answer:The equation is 5x + 10y = 800Step-by-step explanation:* Lets explain what is the equation and how can we make one- The equation is a mathematical statement that two things are equal. - It consists of two expressions, one on each side of an equal sign (=).* Lets solve the problem- There are two types of vehicles, large one and small one- The cost of washing the small vehicle is $5- The cost of washing the larger vehicle is $10- They collected from washing both is $800- To make an equation for the amount collected let the number of the  small vehicles is x and the number of the large vehicles is y∵ x is the number of the small vehicles were washed∵ y is the number of the large vehicles were washed∵ The cost of washing the small vehicle is $5∵ The cost of washing the larger vehicle is $10∴ The money collected from the small vehicles = 5 × x = 5x∴ The money collected from the large vehicles = 10 × y = 10y- find the total money collected from both∴ The amount of money collected from both = 5x + 10y ∵ The amount of money collected is $800- Equate the two expressions above∴ 5x + 10y = 800* The equation is 5x + 10y = 800