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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
  +9
  0
  
  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