SOLUTION: A youth club held a pancake breakfast to raise money for a trip. Tickets were $4 for children and $6.50 for adults. If 290 tickets were sold and the group took in $1680
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Question 1143582: A youth club held a pancake breakfast to raise money for a trip. Tickets were $4 for children and $6.50 for adults. If 290 tickets were sold and the group took in $1680, find the number of adults and the number of children that attended the breakfast.
Let x = # of adult tickets, y = # of child tickets.
From the condition, you have these 2 equations
x + y = 290 (1) (counting tickets)
6.50*x + 4.00*y = 1680 (2) (counting money)
From equation (1), express y = 290 - x and substitute it into equation (2). You will get
6.50x + 4.00*(290-x) = 1680.
Express x and calculate answer
x = = 208.
Then from equation (1), y = 290 - 208 = 82.
ANSWER. 208 adult tickets and 82 child tickets.
CHECK. 208*6.50 + 82*4.00 = 1680.00 dollars. ! Correct !
The problem is solved using 2-equation setup and the Substitution method.
