Question

A cinema has two different prices for tickets: one price for children and one price for adults.

Answer 1

Answer:

$14.36

Step-by-step explanation:

A lot of math, but I'll explain. $287.50-$0.35= $287.15. 287.15 divided by 20 would be 14.3575. That rounded to the nearest hundreths would be $14.36.

Answer 2

Answer:the cost of one adult ticket is $6.5

Step-by-step explanation:

Let x represent the number of children tickets.

Let y represent the cost of one adult ticket.

35 cents children's tickets plus 20 adults cost a total of 287.5. Converting 35 cents to dollars, it becomes 35/100 = 0.35. It means that

0.35x + 20y = 287.5 - - - - - - - - - - 1

25 cents children's tickets plus 30 adults tickets cost 307.50. Converting 25 cents to dollars, it becomes 35/100 = 0.35. It means that

0.25x + 30y = 307.5 - - - - - - - - - - 2

Multiplying equation 1 by 30 and equation 2 by 20, it becomes

10.5x + 600y = 8625

5x + 600y = 6150

Subtracting, it becomes

5.5x = 2475

x = 2475/5.5 = 450

Substituting x = 450 into equation 1, it becomes

0.35 × 450 + 20y = 287.5

157.5 + 20y = 287.5

20y = 287.5 - 157.5 = 130

y = 130/20 = 6.5