Question

1. lisa charges $25 for private tutoring and $18 for group tutoring. in one day, lisa earned $265 from 12 students. how many students of each type did she tutor?

Explanation:

Step1: Define Variables

Let \( x \) be the number of private tutoring students, \( y \) be the number of group tutoring students. We have two equations: \( x + y = 12 \) (total students) and \( 25x + 18y = 265 \) (total earnings).

Step2: Solve the System

From \( x + y = 12 \), we get \( y = 12 - x \). Substitute into the second equation: \( 25x + 18(12 - x) = 265 \). Expand: \( 25x + 216 - 18x = 265 \). Simplify: \( 7x = 49 \), so \( x = 7 \). Then \( y = 12 - 7 = 5 \).

Answer:

Private tutoring: 7 students, Group tutoring: 5 students