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At the theater, tickets for adults cost $4.75
and tickets for
children cost $2.25. How many tickets of each were purchased if
26 tickets cost $83.50?


Sagot :

x+y= 26 and 4.75x + 2.25y= 83.50

y=26-x( substitute this into second equation for y and solve for x)

4.75x + 2.25(26-x)= 83.50

4.75x + 58.5-2.25x= 83.50

x= 10

Now solve for y by substituting your answer for x

10+ y= 26

y=16

Therefore, 16 tickets were purchased for kids and 10 for adults.