Problema Solution
During a benefit show, the reserved seats cost 50 pesos each, and the other seats were 10 pesos each. If 1000 tickets were sold in all and the total amount received was 18000 pesos. How many tickets of each kind were sold?
Answer provided by our tutors
let
x = the number of the reserved seats that cost 50 pesos each
y = the number of the other seats that cost 10 pesos each
1000 tickets were sold in all:
x + y = 1000
and the total amount received was 18000 pesos:
50x + 10y = 18000
by solving the system of equations:
x + y = 1000
50x + 10y = 18000
we find:
x = 200 tickets
y = 800 tickets
click here to see the step by step solution of the system of equations:
there were 200 reserved seats tickets and 800 other seats tickets sold.