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
an adult ticket is $14 and a child ticket is $11
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 !
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!
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 :)