+47 Ben bought 7 tickets to a concert and spent $43. He bought a combination of General Admission tickets for $4 each and Reserved Seat tickets for $9 each.
A.Write a system of equations that represents how much each ticket type of ticket costs, making sure to define what each variable represents.
+1832 Let x be the number of General Admission tickets
And Y be the number of Seat Reserved Seat tickets
the equation is
4x +9y = 43
GA = number of Gen Adm tickets 4 = price each
7-GA = Reserved seat tickets 9 = price each
GA (4) + (7-GA) (9) = 43
Solve for GA
-5GA = -20
GA = 4 then Reserved = 7 - GA = 3
+2498 the average of 1 ticket will be 43/7
A-average of tickets
G-General Admission tickets
R-Reserved Seat tickets
G A R
4_______43/7____________9
15/7 20/7
distance from G to A is:
lG-Al=l4-43/7l=15/7
distance from R to A:
lR-Al=l9-43/7l=20/7
So the ratio G : R
20/7 15/7
20/7:15/7=4:3
4 3
SO there was:
4 General admission ticket for $4: 4x4=16
3 Reserved Seat tickets for $9: 3x9=27
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