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leva [86]
2 years ago
12

A local amusement park charges $21.50 per daily adult ticket and $14.75 per daily child's ticket. A group of 12 people paid $204

.00 for tickets. Which system of equations could be used to find x, the number of adult tickets purchased, and y, the number of children's tickets purchased
Mathematics
2 answers:
grandymaker [24]2 years ago
6 0

Answer:

x+y=12

21.50x+14.75y=204

Step-by-step explanation:

Let x be the number of adult tickets and y be the number of children's tickets.

We are given that there are total 12 people. Therefore, we can set:

x+y=12

Moreover, we are given that an adult ticket costs $21.50 and a child's ticket costs $14.75, therefore, cost of x adult tickets will be 21.50x and cost of y children's ticket will be 14.75y. We can form the second equation by setting the total cost of tickets as:

21.50x+14.75y=204

Therefore, the required system of equations that could be used to find x and y will be:

x+y=12

21.50x+14.75y=204

sweet-ann [11.9K]2 years ago
6 0

Answer:


x+y = 12


21.50x+14.75y=204.00


Step-by-step explanation:

Given :

A local amusement park charges $21.50 per daily adult ticket and $14.75 per daily child's ticket.

Group of 12 people paid $204.00 for tickets.

To Find : System of equations could be used to find x, the number of adult tickets purchased, and y, the number of children's tickets purchased.

Solution :

Since group contains 12 people so no. of tickets are 12 .

Let out of 12 people no. of adults's tickets  are x.

Let out of 12 people no. of children's ticket are y .


⇒x+y = 12


Since charge of one adult ticket = $21.50

So, charge of x adult tickets = $21.50 x

Since charge of one child ticket = $14.75

So, charge of y children tickets =$14.75 y

And we are given that total amount paid by these 12 people = $204.00


Thus 21.50x+14.75y=204.00


Hence , System of equations could be used to find x, the number of adult tickets purchased, and y, the number of children's tickets purchased:


x+y = 12


21.50x+14.75y=204.00

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