Question

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.

Answer 1

1. 6 adults
2. 8 children

Explanation:

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

• adult tickets were ¥4950
• child tickets were ¥4320

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

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

# adults = ¥29700/¥4950 = 6

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(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