students sold 275 tickets, some for $3 and some for $5. How many of each kind were sold if the amount is $1025?

Question

Students sold 275 tickets for a fundraiser at school. Some tickets are for children and cost $3, while the rest are adult tickets that cost $5. If the total value of all tickets sold was $1025, how many of each type of tickets was sold?

Answer 1

a + b = 275

3a + 5b = 1025

 

a = 275 - b

3(275 - b) + 5b = 1025

825 - 3b + 5b = 1025

2b = 200

b = 100

 

a = 275 - 100

a = 175