Shayla tutors middle school students and high school students. She charges a different rate for each. Last week, she tutored middle school students for 5 hours and high school students for 12 hours. This week, she tutored middle school students for 6 hours and high school students for 10 hours. She earned $400 last week and $370 this week. How much does she charge each?

Shayla charges $20 per hour for middle school students and $25 per hour for high school students.

Step-by-step explanation:

System of Equations

Let's call:

x = Shayla's hourly charge for middle school students

y = Shayla's hourly charge for high school students

Last week, Shayla tutored middle school students for 5 hours and high school students for 12 hours. The total earning was 5x+12y. She earned $400 last week, thus:

5x + 12y = 400        [1]

This week, she tutored middle school students for 6 hours and high school students for 10 hours. The total earnings were 6x+10y and it represented $370, thus:

6x + 10y = 370

Dividing by 2:

3x + 5y = 185        [2]

We have formed the system of equations:

5x + 12y = 400        [1]

3x + 5y = 185        [2]

Multiply [1] by -3 and [2] by 5:

-15x - 36y = -1200

15x + 25y = 925

Adding both equations:

-11y = -275

Dividing by -11:

y = -275/(-11) = 25

y = 25

Substituting in [1]:

5x + 12*25 = 400

5x + 300 = 400

5x = 400 - 300 = 100

x = 100/5 = 20

x = 20

Shayla charges $20 per hour for middle school students and $25 per hour for high school students.

step-by-step explanation:

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answer: a. 13/44

step-by-step explanation: judging by the information given to us, we are looking for experimental probability. we can see that 13 males have chosen chocolate ice cream. there are 44 ice creams in total (remember that the total is always the denominator). so our answer is 13/44.