At the movie theatre, child admission is $5.90

1 answer:

5 0

Let the number of children be c, and the number of adults be a.
c + a = 170 (total number of tickets)
Then the cost of each is: $5.90/child, $9.60/adult:
5.9c + 9.6a = 1269.40 (total sales)
Solving as 2 simultaneous equations, we first transform the first equation:
a = 170 - c
Substitute into the 2nd equation:
5.9c + 9.6(170 - c) = 1269.40
Solving gives c = 98, and a = 170 - 98 = 72. This means that 72 adult tickets were sold that day.

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Answer:

Noah takes 20 minutes to get to his house, that is, 10 minutes less than Charlotte.

Step-by-step explanation:

Since Charlotte walks home from school every day at a rate of 4 miles per hour and it takes her 30-minutes to reach home, while her brother, Noah, runs home from the same school every day at a rate of 6 miles per hour, to determine how many fewer minutes does it take Noah than Charlotte to reach home from school each day the following calculation must be performed:

Charlotte:

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Noah:

6/60 = 0.1 mile per minute

2 / 0.1 = 20

Thus, Noah takes 20 minutes to get to his house, that is, 10 minutes less than Charlotte.

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