At a firefighters' pancake breakfast, the firefighters served 345 people and raised $1395. As adult's ticket to the pancake breakfast was $5 and the cost of a child's ticket was $3. What was the number of child and adult tickets sold?

Respuesta :

Answer:

Number of adult tickets = 180

Number of child tickets = 165

Step-by-step explanation:

Given:

Total number of ticket = 345

Total amount = $1,395

Cost of adult ticket = $5

Cost of child ticket = $3

Find:

Number of child and adult tickets

Computation:

Assume;

Number of child tickets = a

Number of adult tickets = b

So,

a + b = 345...........eq 1

3a + 5b = 1,395...........eq2

3 x in eq 1

3a + 3b = 1,035.........eq3

eq2 - eq3

2b = 360

b = 180

Number of adult tickets = 180

a + b = 345

a = 165

Number of child tickets = 165