Answer: $9 per hour at his job as a cashier and $8 per hour at his job delivering newspapers.
Step-by-step explanation:
1. Let's call the amount he got paid per hour at his job as a cashier: [tex]x[/tex].
Let's call the amount he got paid per hour at his job delivering newspapers: [tex]y[/tex].
2. Keeping on mind the information given in the problem above, you can make the following system of equations:
[tex]\left \{ {{5x+4y=77 \atop {6x+3y=78}} \right.[/tex]
3. You can solve it by applying the Substitution method, as following:
- Solve for one of the variables from one of the equations and substitute it into the other equation to solve for the other variable and calculate its value.
- Substitute the value obtained into one of the original equations to solve for the other variable and calculate its value.
4. Therefore, you have:
[tex]5x+4y=77\\5x=77-4y\\x=\frac{77-4y}{5}=15.4-0.8y[/tex]
Then:
[tex]6(15.4-0.8y)+3y=78\\92.4-4.8y+3=78\\-1.8y=-14.4\\y=8[/tex]
Finally:
[tex]5x+4(8)=77\\5x+32=77\\5x=45\\x=9[/tex]
Therefore he got paid $9 per hour at his job as a cashier and $8 per hour at his job delivering newspapers.
