A fundraising dinner is being held. One person buys 8 childrens tickets and 1 adult ticket and pays $16.50. Another person buys 6 childrens tickets and 1 adult ticket and pays $14.00. How much are childrens tickets and adults tickets?A.Children's tickets=$6.50; Adult's tickets=$1.50B.Children's tickets=$1.25; Adult's tickets=$15.25C.Children's tickets=$1.25; Adult's tickets=$6.50D.Not enough information is provided.PLZ ANSWER AS SOON AS POSSIBLE, WILL GIVE BRAINLIEST!!!!!!!
Accepted Solution
A:
Let an adult ticket cost a. Let a child ticket cost c.
"One person buys 8 children's tickets and 1 adult ticket and pays $16.50."
8c + a = 16.5
"Another person buys 6 children's tickets and 1 adult ticket and pays $14.00."
6c + a = 14
We have a system of equations.
8c + a = 16.5 6c + a = 14
Subtract the second equation from the first equation.
2c = 2.5
c = 1.25
Now substitute 1.25 for c in the first equation and solve for a.
8(1.25) + a = 16.5
10 + a = 16.5
a = 6.5
Answer: An adult ticket costs $6.50, and a child ticket costs $1.25.