Question

harper has two jobs. job 1 pays $10 per hour and job 2 pays $15 per hour. if harper worked a total of 20 hours and earned $250, which system of equations can be used to determine how many hours harper worked at each job?

1. (x + y = 20), (10x + 15y = 250)
2. (x + 2y = 20), (10x + 15y = 250)
3. (x + y = 250), (10x + 15y = 20)
4. (10x + 10y = 20), (15x + 10y = 250)

Explanation:

Step1: Set up the equations

Let $x$ be the number of hours worked at job 1 and $y$ be the number of hours worked at job 2. The total - number - of - hours equation is $x + y=20$ (since the total number of hours worked is 20), and the total - earnings equation is $10x + 15y=250$ (since job 1 pays $10$ per hour and job 2 pays $15$ per hour and the total earnings is $250$). So the correct system of equations is

$$\begin{cases}x + y=20\\10x + 15y=250\end{cases}$$

.

Answer:

The first system of equations: $x + y = 20$, $10x+15y = 250$