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?
+37146 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
+373 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
+9 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.
