The manila

The manila theater charged ticket prices as follow: adults php500, student php250 and children below 12 is php100. The theater collected a total of php100,000.00 from audience of 250 people. What is possible composition of the audience with a total as to the numbers of adults, students nd children? Write the answer with solution

Correct result:

a =  186
s =  4
c =  60


500a+250s+100c=100000 a+s+c=250  a1=150,c1=0,s1=100 a2=153,c2=5,s2=92 a3=156,c3=10,s3=84 a4=159,c4=15,s4=76 a5=162,c5=20,s5=68 a6=165,c6=25,s6=60 a7=168,c7=30,s7=52 a8=171,c8=35,s8=44 a9=174,c9=40,s9=36 a10=177,c10=45,s10=28 a11=180,c11=50,s11=20 a12=183,c12=55,s12=12 a13=186,c13=60,s13=4  a=186

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