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Multi-step

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Carey gets paid at home for doing extra chores. Last week, she did 8 loads of laundry and 10 loads of dishes, and her parents paid her \$28. The week before, she finished 3 loads of laundry and 10 loads of dishes, earning a total of \$23. How much does Carey earn for completing each type of chore?

May 14, 2021

#1
+32691
+1

8l + 10 d = 28

3l + 10 d = 23       subtract this equation from the first one to get

5 l  = 5

l = laundry = 1 dollar       then use this value ineither equation to calculate d

8 (1) + 10 d = 28

d = dishes = 2 dollars

May 14, 2021
#2
+219
+1

Hey there, Guest!

So we have two equations:

8l+10d=28 and 3l+10d=23 (l is laundry and d is dishes)

We can then rewrite the equations:

10d+8l=28 and 10d+3l=23

Then we can solve and then find that d= \$2 and that l= \$1.

Hope this helped! :)

( ﾟдﾟ)つ Bye

May 14, 2021
#3
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Pavlov earns \$4 and \$3 for 1 load of laundry and 1 load of dishes respectively

Solution:

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

We have to find How much does pavlov 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  amount for 1 load of laundry + 1  amount for 1 load of dish = 27

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

Then, 1  amount for 1 load of laundry + 9  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, pavlov earns \$4 and \$3 for 1 load of laundry and 1 load of dishes respectively.

May 14, 2021