A band concert is attended by x adults, y teenagers, and z preteen children. These numbers satisfied the following equations. How many adults, teenagers, and children were present? x + 1.92y + 0.27z= 625.8 x+0.8y +0.2z = 420 3.37x+3.08y + 0.2z = 1376.4 There were adults, teenagers, and children present at the band concert.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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A band concert is attended by x adults, y teenagers, and z preteen children. These numbers satisfied the following equations. How many adults, teenagers, and
children were present?
x+ 1.92y + 0.27z= 625.8
x+0.8y +0.2z = 420
3.37x+ 3.08y + 0.2z = 1376.4
There were
adults,
teenagers, and
children present at the band concert.
Transcribed Image Text:A band concert is attended by x adults, y teenagers, and z preteen children. These numbers satisfied the following equations. How many adults, teenagers, and children were present? x+ 1.92y + 0.27z= 625.8 x+0.8y +0.2z = 420 3.37x+ 3.08y + 0.2z = 1376.4 There were adults, teenagers, and children present at the band concert.
Expert Solution
Step 1

Given system of equation is

x+1.92y+0.27z=625.8x+0.8y+0.2z=4203.37x+3.08y+0.2z=1376.4......1

Write the given system 1 in the matrix form Ax=b

11.920.2710.80.23.373.080.2xyz=625.84201376.4

Now, write the augmented matrix A|b, which is given below

A|b=11.920.27625.810.80.24203.373.080.21376.4

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