Show how to write and evaluate an expression to represent and solve this problem: Jeff and his friend each text four classmates about a concert. Each classmate then texts four students from another school about the concert. If no one receives the message more than once, how many students from the other school receive a text about the concert?
THX
calls received after one session of calls = 4
calls received after two sessions of calls = 4^2 = 16
calls received after three sessions of calls = 4^3 = 64
.......
calls received after n sessions of calls = 4^n
Please finish the question
To represent and solve this problem, let's break it down step by step:
Step 1: Determine the number of classmates Jeff and his friend text.
Since Jeff and his friend each text four classmates, the total number of classmates they text is 4 + 4 = 8.
Step 2: Determine the number of students contacted by each classmate.
Each classmate texts four students from another school. Since there are eight classmates, the total number of students contacted by classmates is 8 * 4 = 32.
Step 3: Determine the number of students who receive a text about the concert.
According to the problem, no one should receive more than one text. Therefore, the number of students who receive a text about the concert is 32.
So, to summarize the expression to represent and solve this problem is: 32 students from the other school receive a text about the concert.