Answer:
The equation is 5x + 10y = 800
Step-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
