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adelina 88
21 day ago
12

The zoo sold 250 admission tickets on Tuesday. Some of the tickets were child tickets and the rest were adult tickets. A child's

ticket cost $12.75 and an adult ticket cost $18.50. If the zoo sold $4739.50 worth of tickets, which system of equations could be used to determine how many adult tickets, a, and how many child tickets, c, were sold?
Mathematics
1 answer:
Inessa [8.9K]21 day ago
8 0

Answer:

Step-by-step breakdown:

Let c denote the quantity of child tickets sold.

Let a denote the quantity of adult tickets sold.

On Tuesday, the zoo sold a total of 250 admission tickets. This total consists of child tickets and adult tickets, resulting in the equation:

c + a = 250 - - - - - - - - - - 1

The cost for a child's ticket is $12.75, while an adult ticket costs $18.50. The total ticket sales amounting to $4739.50 indicates that:

12.75c + 18.5a = 4739.50 - - - - - - - 2

Equations 1 and 2 form the system necessary to find the number of adult tickets, a, and child tickets, c, sold.

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