5 hours of math tutoring must be mixed with 5 hours of arts tutoring to make $45 per hour.
Mr. Robert charges $50 per hour for math tutoring and charges $40 per hour for language arts tutoring.
Let, he mixed x hours of math tutoring to 5 hours of arts tutoring.
Then, Income from x hours of math tutoring = $50x
Income from 5 hours of arts tutoring = 5×$40 = $200
Total mixed income in (x+5) hours = $(50x+200)
According to the question, in mixed process he make $45 per hour. So, for (x+5)hours he earns $(x+5)45
So, The equation becomes,
50x+200 = (x+5)45
⇒ 50x+200 = 45x+225
⇒ 50x-45x = 225-200
⇒ 5x = 25
⇒ x = 25/5
⇒ x = 5
So, 5 hours of math tutoring must be mixed.
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