Question

Emmet gets paid at home for doing extra chores. Last week, he did 1 load of laundry and 3

loads of dishes, and his parents paid him $10. The week before, he finished 1 load of laundry
and 7 loads of dishes, earning a total of $18. How much does Emmet earn for completing
each type of chore?

Answer 1

He earns $4 for a load of laundry and $2 for a load of dishes.

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:

`x + 3y = 10`

`x = 10 - 3y`

The week before, he finished 1 load of laundry and 7 loads of dishes, earning a total of $18.

This means that
`x + 7y = 18`

Since
`x = 10 - 3y`

`10 - 3y + 7y = 18`

`4y = 8`

`y = (8)/(4)`

`y = 2`

`x = 10 - 3y = 10 - 3*2 = 10 - 6 = 4`

He earns $4 for a load of laundry and $2 for a load of dishes.