17/35 is the Simplest form.
The number of adult tickets and children tickets sold were 92 and 220 respectively
What differentiate adult tickets from children's
The adult tickets can be represented by a while children's ticket is c
The total number of tickets sold which is 312 means the sum of a and c
a+c=312
Total value of adult tickets=a*12
total value of children tickets=c*5
12a+5c=2204
Solve for a in the first equation
a=312-c
substitute for a in the second equation
12a+5c=2204
12(312-c)+5c=2204
3744-12c+5c=2203
3744-2203=12c-5c
1541=7c
c=1541/7
c=220
a=312-220
a=92
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A) x/y = 2/3
B) x + y = 105
Solving Equation A for y
A) y = 1.5x
Substituting A into B
B) x + 1.5x = 105
2.5x = 105
x = 42
y = 63
1,129.872 to the nearest hundred is 1,100
