Question

HELP

On one day at a local minigolf course, there were 320 customers who paid a total of $2,900. If the cost for a child is $7 per game and the cost for an adult is $10 per game, write a system of equations to model this scenario, where x represents the number of children and y represents the number of adults who played that day.

7x + 10y = 2900
x + y = 320
7x + 10y = 320
x + y = 2900
10x + 7y = 2900

Answer 1

Taking into account the definition of a system of linear equations, the system of equations to model the scenario is

x + y= 320

7x + 10y=2900

System of linear equations

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are fulfilled, that is, when replacing the value of each unknown the equality of the equations must be true.

System of equations in this case

In this case, a system of linear equations must be proposed taking into account that:

• "x" represents the number of children who played one day.

• y"" represents the number of adults who played one day.

You know that:

• On one day at a local mini golf course, there were 320 customers who paid a total of $2,900.

• The cost for a child is $7 per game.

• The cost for an adult is $10 per game.

The system of equations to be solved is

x + y= 320

7x + 10y=2900