Question

Lisa charges $25 for private tutoring and $18 for a group tutoring session. one day in january, lisa earned $265 for 12 students. How many students of each type did lisa tutor??

pls help<3

Answer 1

7

Explanation:

Let's call the number of private tutoring sessions Lisa held "P" and the number of group tutoring sessions "G". We want to find out how many of each type of session she held.

From the problem, we know that:

Lisa charges $25 per private tutoring session, so the total amount she earned from private tutoring is 25P.

Lisa charges $18 per group tutoring session, so the total amount she earned from group tutoring is 18G.

Lisa tutored a total of 12 students, so the total number of tutoring sessions is P + G = 12.

We can write two equations based on this information:

25P + 18G = 265 (the total amount Lisa earned)

P + G = 12 (the total number of tutoring sessions)

To solve for P and G, we can use substitution. Solve the second equation for P:

P = 12 - G

Now substitute this expression for P in the first equation:

25P + 18G = 265

25(12 - G) + 18G = 265

300 - 25G + 18G = 265

-7G = -35

G = 5

So Lisa held 5 group tutoring sessions. We can find the number of private tutoring sessions by using the second equation:

P + G = 12

P + 5 = 12

P = 7

Answer 2

Let's assume Lisa tutored x students for private tutoring and (12 - x) students for group tutoring.

Therefore, the amount earned for private tutoring would be 25x and the amount earned for group tutoring would be 18(12 - x).

We know that the total amount earned was $265, so we can set up an equation:

25x + 18(12 - x) = 265

Simplifying the equation:

25x + 216 - 18x = 265

7x = 49

x = 7

Therefore, Lisa tutored 7 students for private tutoring and 12 - 7 = 5 students for group tutoring.

Explanation: