a man purchased 47 is time of 20p and 25p for rupees 10. find the number of each type of stamp
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Answer:
Step-by-step explanation:
Given :-
A man purchased 47 stamps of 20p and 25p for Rs.10.
To Find :-
The number of each type of stamp.
Solution :-
Let the number of stamps of 20p and 25p be x.
Then Equation will come as,
x + y = 47 …….....(i)
0.20x + 0.25y = 10 …….....(ii)
Using Substitution Method
From (i), we get
y = 47 – x
Now, Putting y = 47 – x value in (ii), we have
⇒ 4x + 5(47 – x) = 200
⇒ 4x – 5x + 235 = 200
⇒ x = 235 – 200
⇒ x = 35
Putting x = 35 in (i), we get
⇒ 35 + y = 47
⇒ y = 47 – 35
⇒ y = 12
Hence, the number of 20p stamps and 25p stamps are 35 and 12.
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