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Mr. Robert charges $50 per hour for math tutoring and charges $40 per hour for language arts tutoring. How many hours of math tutoring must be mixed with 5 hours of ELA Tutoring to make $45 per hour?

Sagot :

Varshamittal029idn

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.

Learn more about equation here :

https://brainly.com/question/11242211

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