A 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 than 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

Jeremiah

Business

9 March, 05:17

A 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 than 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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Yaritza Banks · Answer 1

The number of children in the group is 8.

Explanation:

Taking into account the information given we make the following calculations:

Regular fees were $5.500 for each adult and $4.800 for each child, but there is a disccount of 10% because the group is over 10 people. Then after applying this discount fees are $4.950 for each adult and $4.320 for each kid.

There is further information given where we are told that the total paid for the adults were $29.700 and the total paid for children was $4.860 more that the total adults paid. In that order the total amount paid for children was $34.560.

We have now that the total paid for kids was $34.560 and each fee with discount for kids is $4.320 (as we saw previosly). So now we have to divide $34,560/$4.320=8 kids.