group consisting of several families visited an amusement park where the regular admission fees were ¥5,500 for each adult and ¥4,800 for each child. Because there were at least 10 people in the group, each paid an admission fee that was 10% less that the regular admission fee. How many children were in the group? (1) The total of the admission fees paid for the adults in the group was ¥29,700 (2) The total of the admission fees paid for the children in the group was ¥4,860 more than the total of the admission fees paid for the adults in the group.

Question

Villanueva

Mathematics

12 July, 07:59

group consisting of several families visited an amusement park where the regular admission fees were ¥5,500 for each adult and ¥4,800 for each child. Because there were at least 10 people in the group, each paid an admission fee that was 10% less that the regular admission fee. How many children were in the group? (1) The total of the admission fees paid for the adults in the group was ¥29,700 (2) The total of the admission fees paid for the children in the group was ¥4,860 more than the total of the admission fees paid for the adults in the group.

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Answers (1)

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Drew Flynn · Answer 1

6 adults 8 children

Step-by-step explanation:

After the discount, each ticket was 90% of its original price, so ...

adult tickets were ¥4950 child tickets were ¥4320

___

(1) The number of adults admitted was ...

# adults = (total cost for adults) / (cost per adult)

# adults = ¥29700/¥4950 = 6

__

(2) The amount paid for the children was ...

child admission total = ¥29700 + 4860 = ¥34560

The number of children admitted was ...

# children = (total cost for children) / (cost per child)

# children = ¥34560/¥4320 = 8