SOLUTION: Tickets for cushioned seats in the main hall at the school play cost rs. 3.50 each and tickets for benches In the gallery rs. 1.80 for each seat. How many tickets of each kind wer

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Question 1043318: Tickets for cushioned seats in the main hall at the school play cost rs. 3.50 each and tickets for benches In the gallery rs. 1.80 for each seat. How many tickets of each kind were sold if the total receipts for 340 tickets amounted to rs. 1088 ?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ number of rs. 3.50 tickets sold
+340+-+x+ = number of rs. 1.80 tickets sold
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+3.5x+%2B+1.8%2A%28+340+-+x+%29++=+1088+
+3.5x+%2B+612+-+1.8x+=+1088+
+1.7x+=+476+
+x+=+280+
and
+340+-+x+=+340+-+280+
+340+-+x+=+60+
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280 rs. 3.50 tickets were sold
60 rs. 1.80 tickets were sold
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check:
+3.5x+%2B+1.8%2A%28+340+-+x+%29++=+1088+
+3.5%2A280+%2B+1.8%2A60++=+1088+
+980+%2B+108+=+1088+
+1088+=+1088+