Question

In a bag, there are 50 paise coins, ₹1 coins, and 2 coins. The total value of these coins is ₹30. The number of 2 coins is half the number of ₹1 coins, which is half the number of 50 paise coins. Find the number of 1 coins.​

Answer 1

Answer:

10

Step-by-step explanation:

$\purple{\underline { \tt \: Given:-}}$

In a bag, there are 50 paise coins, ₹1 coins, and 2 coins. The total value of these coins is ₹30. The number of 2 coins is half the number of ₹1 coins, which is half the number of 50 paise coins.

$\purple{ \underline { \tt \: To\: Find}}$

Number of 1 coins

$\tt \purple{ \underline{Solution:-}}$

$\sf \: Let \: the \: number \: of \:Re \: 1 \:coin \: be \: x \\ \sf \therefore \: number \: of \: Rs \: 2 \: coin = \frac{x}{2} \\ \sf \:number \: of \: 50 \: p \: coins = 2x \\ \\ \tt \: 50 \: p = Re \: 0.5 \\ \\ \sf \: ACQ \\ \tt \therefore \: 0.5(2x) + 1(x) + 2 \bigg( \frac{x}{2} \bigg) = 30 \\ \dashrightarrow \tt \: x + x + \cancel2 \times \frac{x}{ \cancel2} = 30 \\ \dashrightarrow \tt \: x + x + x = 30 \\ \dashrightarrow \tt \: 3x = 30 \\ \dashrightarrow \tt \: x = \frac{ \cancel{30}}{ \cancel3} \\ \dashrightarrow \tt \: x = 10$

Number of Re. 1 coin=10

Answer 2

Step-by-step explanation:

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