Question

Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $2,620 was collected on the
sale of 1,104 tickets. How many of each type of ticket were sold?

Answer 1

Answer:adult=379, student=725

Step-by-step explanation:

Given

Total tickets sold for $2620

total  no of tickets 1104

The cost of an adult ticket is $5

The cost of a student ticket is $1

Suppose there are x adults and y students

So, we can write

$\Rightarrow x+y=1104\quad \ldots(i)\\\Rightarrow 5x+y=2620\quad \ldots(ii)$

Put the value of y from (i) into (ii)

$\Rightarrow 5x+1104-x=2620\\\Rightarrow 4x=1516\\\Rightarrow x=379$

Similarly, $y=1104-379=725$