For a concert 1485 were sold, having total value of Php 197 000. Some of the tickets were sold for 100 (x) and the rest for Php 200 (y) each. How many concert tickets were sold at each price?
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Answer:
1000 tickets at ₱100 each
485 tickets at ₱200 each
Step-by-step explanation:
no. of x and y tickets sold:
x+y=1485, this will be your eq. 1
total value of tickets sold:
100x+200y=197000
simplifying,
x+2y=1970
x=1970-2y, substitute this to eq. 1
x+y=1485
(1970-2y)+y=1485
1970-y=1485
y=1970-1485
y=485
x=1970-2y
x=1970+2(485)
x=1000