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

1. sometimes

2.   never

3   .08c = 7.50+.05c   250 pages

step-by-step explanation:

1.   sometimes

the theoretical probability of rolling a 1 is 1/6.   perhaps you got really lucky and never rolled a 1   in those 60 times.   your experimental probability is 0.   or perhaps you rolled a 1   20 times.   your experimental probability is 20/60 is 1/3.     it really just depends on how you rolled in that experiment.

2.   never

the probability of the event occurring is 1.   that is being 100 % sure it will happen.   that is the maximum amount of confidence we have.

3.   no customer card cost:   .08 times number of pages

customer card cost:   7.50 + .05 times number of pages

we want to find when it costs the same amount, so we will set these equal

let c = number of pages

.08c = 7.50+.05c

subtract .05c from each side

.08c-.05c = 7.5+.05c-.05c

.03c=7.5

divide each side by .03

.03c/.03 = 7.5/03

c =250  

the cost is the same at 250 pages