Mila is working two summer jobs, making $10 per hour washing cars and $11 per hour landscaping. Last week Mila worked a total of 14 hours and earned a total of $145. Write a system of equations that could be used to determine the number of hours Mila worked washing cars last week and the number of hours she worked landscaping last week. Define the variables that you use to write the system.

Respuesta :

Answer:

[tex]L + C = 14[/tex]

[tex]10C + 11L = 145[/tex]

Step-by-step explanation:

Given

Let C represent Car Washing

Let L represent Landscaping

Required

Determine the system of equation

If Mila worked a total of 14 hours; then

[tex]L + C = 14[/tex]

If  Mila earned a total of $145, then

[tex]10C + 11L = 145[/tex]

Hence;

The system of equation are:

[tex]L + C = 14[/tex]

[tex]10C + 11L = 145[/tex]

The system of equation that can be used to determine the number of hours Mila worked washing cars last week and the number of hours she worked landscaping last week is

x + y = 14

10x + 11y = 145

Given:

Earnings for washing car = $10

Earnings for landscaping = $11

Total hours worked = 14 hours

Total amount earned = $145

let

number of hours but washing car = x

number of hours landscaping = y

The equation:

x + y = 14

10x + 11y = 145

Therefore, the equation that can be used to determine the number of hours Mila worked washing cars last week and the number of hours she worked landscaping last week is

x + y = 14

x + y = 1410x + 11y = 145

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