Please explain how to solve this equation with substitution: The owner of a hair salon charges $20 more per haircut than the assistant. Yesterday the assistant gave 12 haircuts. The owner gave 6 haircuts. The total earnings from haircuts were $750. How much does the owner charge for the haircut? Solve by writing and solving a system of equations.

Question

Please explain how to solve this equation with substitution:  The owner of a hair salon charges $20 more per haircut than the assistant.  Yesterday the assistant gave 12 haircuts.  The owner gave 6 haircuts.  The total earnings from haircuts were $750.  How much does the owner charge for the haircut?  Solve by writing and solving a system of equations.

bobpursley · Answer

o=A+21 6o+12A=750 put the first equation into the second. 6(A+21)=12A=750 now simplify, solve for A. Then, O=A+21