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Our school's art teacher took his class to a concert hall and paid $512 for 10 adult tickets and 9 children tickets. The next day, our music teacher took our class to the same concert hall and paid a total of $831 dollars for 17 children and 15 adults.

If ​a represents the price of an adult ticket, and ​c represents the price of a child's ticket, which system of equations can be used to find how much each child ticket and each adult ticket cost?

A. ​19 ac= 512
32ac =831
B. 9c+10a =512
15c+17a =831
C. 10c​+9a​=512 ​​
15c​+17a​=831
D. 19(a​+c)​=512 ​
32(a​+c)​=831

Respuesta :

anthougo

If ​a represents the price of an adult ticket, and ​c represents the price of a child's ticket, the system of equations that can be used to find how much each child ticket and each adult ticket cost is B. 9c+10a = 512 and 15c+17a = 831.

What is a system of equations?

A system of equations, also called simultaneous equations, is two or more equations solved concurrently.

Simultaneous equations have four solutions: graphing, substitution, matrix, and elimination.

Art Teacher:

The number of adult tickets bought, a = 10

The number of children's tickets bought, c = 9

The total cost for the above tickets = $512

Equation 1: 10a + 9c = $512

Music Teacher:

The number of adult tickets bought, a = 15

The number of children's tickets bought, c = 17

The total cost for the above tickets = $831

Equation 2: 15a + 17c = $831

Thus, Option B meets the criteria for the system of equations.

Learn more about simultaneous equations at https://brainly.com/question/25869125

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