SOLUTION: My son has a word problem that I haven't been able to help him with. Tickets for a dance were $8 in advance and $10 at the door. There were 400 tickets sold for a total sales amo

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Question 58439: My son has a word problem that I haven't been able to help him with.
Tickets for a dance were $8 in advance and $10 at the door. There were 400 tickets sold for a total sales amount of $3580. How many tickets were sold at the door? (He has to show all steps to the answer) Thank you for any help you can offer.
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
My son has a word problem that I haven't been able to help him with.
Tickets for a dance were $8 in advance(SAY A IN NUMBER) and $10 at the door
(SAY D IN NUMBER). There were 400 tickets sold
HENCE A+D=400...............1
VALUE OF A TICKETS @ 8 $ = 8A
VALUE OF D TICKETS @ 10 $ = 10D
TOTAL VALUE = 8A+10D
for a total sales amount of $3580.
8A+10D=3580.....................2
EQN.2-8*EQN.1 GIVES
8A+10D-8A-8D=3580-8*400=3580-3200=380
2D=380
D=190
A=400-190=210


How many tickets were sold at the door? (He has to show all steps to the answer) Thank you for any help you can offer.
LET THE ADV