Raj has 50 paisa coin, some 1 re coin, some 2 rupee coin, and some 5rupee coin. The value of all the coins is 50. Number of 2 re coins is 5 more than the 5re coin. 50 paisa coins are double the number of 1 re coins. Value of 1 re coin and 50 paisa coin is rs 26, How many 2 re coin are there?
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nandu
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Join date : 2011-05-03
Age : 40
Location : Chennai
Abhishek
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nandu wrote:Raj has 50 paisa coin, some 1 re coin, some 2 rupee coin, and some 5rupee coin. The value of all the coins is 50. Number of 2 re coins is 5 more than the 5re coin. 50 paisa coins are double the number of 1 re coins. Value of 1 re coin and 50 paisa coin is rs 26, How many 2 re coin are there?
Providing a pictorial solution:
nandu
Forum Member- Posts : 8
Join date : 2011-05-03
Age : 40
Location : Chennai
- Post n°3
quant problem
Let 50 paise coins be X
2 rupee coins be Y
1 rupee coin be Z
5 rupee coin be T
Given :- 0.5X + 2Y + Z +5T = 50 ---------- (i)
Y= 5 + T ---------- (ii)
X= 2Z ----------- (iii)
0.5X + Z=26 -----(iv)
therefore, 26+ 2(5+T) + 5T = 50
26+ 10+ 2T+ 5T =50
7T= 50-36 =14
T=2
Substituting the value of T in equation (ii)
we get, Y= 5+ 2= 7
2 rupee coins be Y
1 rupee coin be Z
5 rupee coin be T
Given :- 0.5X + 2Y + Z +5T = 50 ---------- (i)
Y= 5 + T ---------- (ii)
X= 2Z ----------- (iii)
0.5X + Z=26 -----(iv)
therefore, 26+ 2(5+T) + 5T = 50
26+ 10+ 2T+ 5T =50
7T= 50-36 =14
T=2
Substituting the value of T in equation (ii)
we get, Y= 5+ 2= 7
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