Answer:
He earns $4 for a load of laundry and $2 for a load of dishes.
Step-by-step explanation:
This question can be solved by a system of equations.
I am going to say that:
x is how much he earns for a load of laundry.
y is how much he earns for a load of dishes.
Last week, he did 1 load of laundry and 3 loads of dishes, and his parents paid him $10.
This means that:
[tex]x + 3y = 10[/tex]
[tex]x = 10 - 3y[/tex]
The week before, he finished 1 load of laundry and 7 loads of dishes, earning a total of $18.
This means that [tex]x + 7y = 18[/tex]
Since [tex]x = 10 - 3y[/tex]
[tex]10 - 3y + 7y = 18[/tex]
[tex]4y = 8[/tex]
[tex]y = \frac{8}{4}[/tex]
[tex]y = 2[/tex]
[tex]x = 10 - 3y = 10 - 3*2 = 10 - 6 = 4[/tex]
He earns $4 for a load of laundry and $2 for a load of dishes.
