Question

Matt gets paid at home for doing extra chores. Last week, he did 6 loads of laundry and 1
load of dishes, and his parents paid him $27. The week before, he finished 1 load of laundry
and 9 loads of dishes, earning a total of $31. How much does Matt earn for completing each
type of chore?​

Answer 1

Matt earns $4 and $3 for 1 load of laundry and 1 load of dishes respectively

Solution:

Given, Matt gets paid at home for doing extra chores.

We have to find How much does Matt earn for completing each type of chore?

Let the amount for 1 load of laundry be m and amount for 1 load of dish be n.

Now, last week, he did 6 loads of laundry and 1 load of dishes, and his parents paid him $27.

Then, 6 $\times$ amount for 1 load of laundry + 1 $\times$ amount for 1 load of dish = 27

$\rightarrow 6 \mathrm{m}+\mathrm{n}=27 \rightarrow(1)$

The week before, he finished 1 load of laundry and 9 loads of dishes, earning a total of $31

Then, 1 $\times$ amount for 1 load of laundry + 9 $\times$ amount for 1 load of laundry = 31  ⇒m + 9n = 31 ⇒ (2)

Now let us solve equations (1) and (2)

0 – 53n = - 159

-53n  = -159  

53n = 159

n = 3

Now, substitute n value in (1) ⇒ 6m + 3 = 27 ⇒ 6m = 24 ⇒ m = 4

Hence, matt earns $4 and $3 for 1 load of laundry and 1 load of dishes respectively.