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hammer [34]
3 years ago
6

1000 tickets were sold to the seaport aquariums dolphin show. Adult tickets cost $10 children tickets cost two dollars and a tot

al of 5200 was collected. How many adult tickets were sold?
Mathematics
1 answer:
kolbaska11 [484]3 years ago
7 0

Answer: 400 adult tickets were sold.

Step-by-step explanation:

Let x represent the adult tickets that were sold.

Let y represent the number of children tickets that were sold.

1000 tickets were sold to the seaport aquariums dolphin show. This means that

x + y = 1000

Adult tickets cost $10. Children tickets cost two dollars and a total of 5200 was collected. This means that

10x + 2y = 5200 - - - - - - - -1

Substituting x = 1000 - y into equation 1, it becomes

10(1000 - y) + 2y = 5200

10000 - 10y + 2y = 5200

- 10y + 2y = 5200 - 10000

- 8y = - 4800

y = - 4800/ - 8

y = 600

x = 1000 - y = 1000 - 600

x = 400

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