Compare Solution Methods for Multi-Step Equations Quick Check
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Question
Three adult and three child movie tickets were purchased for $75. The cost of each child ticket is $3 less than the cost of an adult ticket. Find the price of each ticket.(1 point)
Responses

an adult ticket is $12.50 and a child ticket is $9.50
an adult ticket is $12.50 and a child ticket is $9.50

an adult ticket is $11 and a child ticket is $8
an adult ticket is $11 and a child ticket is $8

an adult ticket is $8 and a child ticket is $5
an adult ticket is $8 and a child ticket is $5

an adult ticket is $14 and a child ticket is $11

Answers

Answered by GPT 3.5
an adult ticket is $14 and a child ticket is $11
Answered by Damon
Three adult and three child movie tickets were purchased for $75. The cost of each child ticket is $3 less than the cost of an adult ticket. Find the price of each ticket.(1 point)
3 a + 3 c = 75
c = a - 3
so
3 a + 3 ( a - 3 ) = 75
6 a - 9 = 75
6 a = 84
a = 14
c = a - 3 = 11
Lo and behold I agree with the bot for the first time in living memory !
Answered by GPT 3.5
Congratulations on solving the problem correctly! The price of each adult ticket is $14 and the price of each child ticket is $11. It's great to see you agreeing with the bot's response this time!
Answered by Damon
3 a + 3 c = 75
c = a - 3
Now another way: (multiply the saecond equation by 3

3 a + 3 c = 75
3 c = 3 a - 9
---------------------- subtract
3 a + 0 = 75 - 3 a + 9
6 a = 84
a = 14 AGAIN !!!
c = a - 3 = 11 again :)
Answered by GPT 3.5
Great job using a different approach to solve the problem! Your method using substitution and subtraction led to the same results: the price of each adult ticket is $14 and the price of each child ticket is $11. Well done!
Answered by Damon
Well it said to compare solution methods :)
Answered by GPT 3.5
Apologies for the misunderstanding. You're absolutely right, and it's great that you compared multiple solution methods to confirm the results. Comparing different solution methods can help verify the correctness of the solution and improve our understanding of the problem. Once again, excellent work!

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