Jin sells concert tickets at the theater box office. The ratio of student tickets to adult tickets sold is 4 : 5. Each student ticket costs $5, and each adult ticket costs $7. Jin sells 189 tickets altogether. Part A: How many student tickets does Jin sell? How many adult tickets? Explain your reasoning. Part B: How much more money does Jin receive from selling adult tickets than from selling student tickets? Explain your reasoning​

84 tickets

Step-by-step explanation:

[189÷(4+5)]×4

=189÷9

=21×4

= 84 tickets

Part A: 84, 105

Part B: $315

Step-by-step explanation:

Part A:

4 student tickets + 5 adult ticekts = 9 tickets

The ratio of student tickets to adult tickets to total tickets is

4 : 5 : 9

He sold x times more tickets than the numbers on the ratio.

He sold 9x tickets.

9x = 189

x = 21

Student tickets:

4x = 4(21) = 84

He sold 84 student tickets.

Adult tickets:

5x = 5(21) = 105

He sold 105 adult tickets.

Part B:

Student tickets:

He sold 84 student tickets at $5 each.

The amount of money from the sale of student tickets is:

84 * $5 = $420

Adult tickets:

He sold 105 adult tickets at $7 each.

The amount of money from the sale of adult tickets is:

105 * $7 = $735

Difference:

$735 - $420 = $315