Question

cost $12 for adults and 5$ for children .on the first day of the fair 312 tickets were sold for a total of 2204$.How many adults ticket and how many child tickets were sold

Answer 1

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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