SOLUTION: James' school is selling tickets to the annual talent show. On the first day of ticket sales, the school sold 6 adult tickets and 7 child tickets for a total of $155. The school to

Question 1156418: James' school is selling tickets to the annual talent show. On the first day of ticket sales, the school sold 6 adult tickets and 7 child tickets for a total of $155. The school took in $258 on the second day by selling 8 adult tickets and 14 child tickets. What is the price each of one adult ticket and one child ticket?
Found 2 solutions by josmiceli, MathTherapy:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the cost of an adult ticket
Let = the cost of a child ticket
---------------------------------------------
(1)
(2)
--------------------------------
Multiply both sides of (1) by and
subtract (2) from (1)
(1)
(2)
----------------------------------

and
(1)
(1)
(1)
(1)
(1)
------------------------
$13 = the cost of an adult ticket
$11 = the cost of a child ticket
--------------------------------------
check:
(2)
(2)
(2)
(2)
(2)
OK

Answer by MathTherapy(10551) (Show Source): You can put this solution on YOUR website!

James' school is selling tickets to the annual talent show. On the first day of ticket sales, the school sold 6 adult tickets and 7 child tickets for a total of $155. The school took in $258 on the second day by selling 8 adult tickets and 14 child tickets. What is the price each of one adult ticket and one child ticket?

Let cost of each adult's ticket be A, and each child's child's, C
We then get: 6A + 7C = 155 ------ eq (i)
Also, 8A + 14C = 258____2(4A + 7C) = 2(129)_____4A + 7C = 129 ------- eq (ii)
2A = 26 ------ Subtracting eq (ii) from eq (i)
A, or
You should now be able to find the cost of a child's ticket!
RELATED QUESTIONS
The school that scott goes to is selling tickets to the annual talent show. On the first... (answered by jorel555)
A school is selling tickets to a talent show. On the first day of sales they sold 1 adult (answered by greenestamps,josgarithmetic)
The school that Kathryn goes to is selling tickets to the annual talent show. On the... (answered by Cromlix)
The school that Marco goes to is selling tickets to the annual talent show. On the first... (answered by josmiceli)
Stefan's school is selling tickets to the annual dance competition. On the first day of... (answered by macston)
The school that Jasmine goes to is selling tickets to a play. On the first day of ticket... (answered by josmiceli)
2)Sumalee's school is selling tickets to a spring musical. On the first day of ticket... (answered by Boreal)
Patricia's school is selling tickets to the school play. On the first day of ticket... (answered by Theo,math_tutor2020,mananth)
Brenda's school is selling tickets to a fall musical. On the first day of ticket sales... (answered by stanbon)