SOLUTION: The school is selling tickets to a performance, adult and child tickets. Each adult ticket is $5 and each child ticket is $3. By the end of the week, there was $178 in sales from 4
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Question 728769: The school is selling tickets to a performance, adult and child tickets. Each adult ticket is $5 and each child ticket is $3. By the end of the week, there was $178 in sales from 42 tickets sold. How many of each type of ticket was sold that week?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
x= number of adult tickets
y= number of child tickets
Total sold
1 x + 1 y = 42 .............1
Total value
5 x + 3 y = 178 .............2
Eliminate y
multiply (1)by -3
Multiply (2) by 1
-3 x -3 y = -126
5 x + 3 y = 178
Add the two equations
2 x = 52
/ 2
x = 26
plug value of x in (1)
1 x + 1 y = 42
26 + y = 42
y = 42 -26
y = 16
y = 16
x= 26 number of adult tickets
y= 16 number of child tickets
m.ananth@hotmail.ca
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