Question

Your school's talent show will feature 8 solo acts and 2 ensemble acts. the show will last 82 minutes. The 4 solo performers judged best will give a repeat performance at a second 54 minute show, which will also feature the 2 ensemble acts. Each solo acts lasts x minutes, and each ensemble act last y minutes. write a system of equations

Answer 1

System of equations: 8x + 2y = 82 and 4x + 2y = 54

Explanation:

Given that:

8 solo acts and 2 ensemble acts will last for 82 minutes

4 solo acts and 2 ensemble acts will last for 54 minutes

Let,

x be the minutes solo acts lasts

y be the minutes ensemble acts lasts

According to given statement;

8x + 2y = 82

4x + 2y = 54

Hence,

System of equations: 8x + 2y = 82 and 4x + 2y = 54