SOLUTION: There were 213 tickets sold to a school dance. Tickets cost $5 with an activity sticker and $8 without. Tickets sales totaled $1,254. Find the number of each type of ticket sold.

Algebra ->  Expressions-with-variables -> SOLUTION: There were 213 tickets sold to a school dance. Tickets cost $5 with an activity sticker and $8 without. Tickets sales totaled $1,254. Find the number of each type of ticket sold.      Log On


   



Question 686675: There were 213 tickets sold to a school dance. Tickets cost $5 with an activity sticker and $8 without. Tickets sales totaled $1,254. Find the number of each type of ticket sold.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = number of $5 tickets bought
Let +b+ = number of $8 tickets bought
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(1) +a+%2B+b+=213+
(2) +5a+%2B+8b+=+1254+
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Multiply both sides of (1) by +5+
and subtract (1) from (2)
(2) +5a+%2B+8b+=+1254+
(1) +-5a+-+5b+=+-1065+
+3b+=+189+
+b+=+63+
and, since
(1) +a+%2B+b+=213+
(1) +a+%2B+63+=213+
(1) +a+=+150+
150 $5 tickets were bought
63 $8 tickets were bought