A man buys postage stamps of denominations 25 paisa and 50 paisa for Rs.10. he buys 28 stamps in all. Find the number of 25 paisa stamps bought .
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Let the man buys x 25 paisa stamps and y 50 paisa stamps. Then
x+y=28 .........(1)
and 0.25x+0.5y=10
or
4
1
x+
2
1
y=10
or
4
x+2y
=10
x+y=40 .........(2)
Subtract equation (1) from equation (2)
x+2y=40
+x+y=28
(−)(−)(−)
y=12
∴x=28−12=16
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