a bag contains an equal number of 1 rupee and 50 praise coins. if the bag has 84 altogether. find the number of 50 praise coins
Answers
Answer:
Step-1: Let’s have the following assumptions:
A = no. of 1 rupee coins
B = no. of 0.5 rupee coins (50 paisa)
C = no. of 0.25 rupee coins (25 paisa)
X = Value of 1 rupee coins
Y = Value of 0.5 rupee coins
Z = Value of 0.25 rupee coins
Step-2: Based on the problem, we know that the no. of 1 rupee, 0.5 rupee and 0.25 rupee coins are the same.
i.e. A = B =C
Step-3: We also know that the total value of the coins is 35 rupees
i.e. X+Y+Z = 35
Step-4: Based on the above two equations, we know that:
X = 1 (A)
Y = 0.5 (B)
Z = 0.25 (C)
Step-5: Now replace B and C with A as A=B=C from Step-2
X = 1 (A)
Y = 0.5 (A)
Z = 0.25 (A)
Step-6: Combining Step-3 & Step-5, we will get:
1 (A) + 0.5 (A) + 0.25 (A) = 35
1.75 (A) = 35
A = 20
The answer to this question is 20 coins each of 1 rupee, 0.5 rupee and 0.25 rupee.
Let’s verify our answer:
20 x 1 rupee coins = 20 x 1 = 20 rupees
20 x 50 paisa coins = 20 x 0.5 = 10 rupees
20 x 25 paisa coins = 20 x 0.25 = 5 rupees
Total = 35 rupees
Step-by-step explanation:
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total coins =84
there are equal number of 1 rupee and 50 paise coins
it means in that 84 coins half are 1 rupee and half are 50 paise
half of 84 is 42
by this we can tell there are 42 1rupee and 42 50paise
hence the answer is 42
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