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Kimberly was selling tickets for a school fundraiser.the cost of the dinner ticket was $10 and the cost of a dessert was $6.while selling tickets she lost track of how many of each ticket she sold but did remember that she had 100 tickets and collected $900.using the variables x and y create a system for the problem

2 Answers

5 votes
Let x be the number of dinner tickets sold by Kimberly and y be the number of dessert tickets sold by Kimberly.

According to the problem, Kimberly sold a total of 100 tickets, so we have:

x + y = 100

According to the problem, Kimberly collected a total of $900, so we have:

10x + 6y = 900

This is because the cost of each dinner ticket is $10 and Kimberly sold x dinner tickets, so she collected 10x dollars from dinner ticket sales. Similarly, the cost of each dessert ticket is $6 and Kimberly sold y dessert tickets, so she collected 6y dollars from dessert ticket sales.

Therefore, the system of equations for this problem is:

x + y = 100
10x + 6y = 900

This system can be solved using various methods, such as substitution or elimination, to find the values of x and y that satisfy both equations.
User Noro
by
7.0k points
6 votes

Answer:

21

Explanation:

y=mx+b

y2-y1 i eill be 21 so 21 is the answer fot variable

User Ethel
by
7.8k points