Math, asked by simran086, 9 months ago


Ram has 3 times as many ₹ 2 coins and he has ₹ 5 coins. If he has in all sum of ₹ 77 , how many coins of ₹ 2 does he have?




Answers

Answered by riddhiiibhatia17
18

Answer:7

Step-by-step explanation:

Let us take number of 5 rupees coins as X and number of 2 rupees coins as Amount of 5 rupees coin will make = 5X  

Amount of 2 rupees coin will make = 3Y

Number of 2 rupees coin =   

Number of 2 rupees coins are equal to 3X and number of 5 rupees is X

Total amount = 2( 3X ) + 5X = 11X

Now we can equate the amount which 11X = 77

X = 7

Now as we know the number of 2 rupees coin is 3X and number of 5 rupees coin is X, that means  

Number of 2 rupees coins = 21 and number of 5 rupees coins = 7

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Answered by Anonymous
20

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\huge{\underline{\underline{\sf{\blue{SOLUTION:-}}}}}

\sf{\underline{\green{Given-}}}

  • Ram has 3 times as many ₹ 2 coins and he has ₹ 5 coins. He has in all sum of ₹ 77.

\sf{\underline{\red{Find-}}}

  • How many coins of ₹ 2 does he have?

\sf{\underline{\red{Answer-}}}

  • Ram have 7 coins of Rs 5 and 21 coins of Rs 2.

\sf{\underline{\red{Explanation-}}}

\sf{\underline{\green{ATQ-}}}

  • Number of Rs 2 coins is 3 times as number of Rs 5 coins.

\sf \: Number \:  of \:  Rs \:  2  \: coins \:  = \:  3x

⠀⠀⠀⠀⠀⠀\begin{gathered}:\implies\sf\:2 × 3x = 6x\end{gathered}

\sf \: Number \:  of \:  Rs \:  5  \: coins \:  = \:  x

⠀⠀⠀⠀⠀⠀\begin{gathered}:\implies\sf\:5 × x = 5x\end{gathered} \:

As we know total amount Ram has = Rs 77

⠀⠀⠀⠀⠀⠀\begin{gathered}:\implies\sf\: 6x+5x=11x\end{gathered}

⠀⠀⠀⠀⠀⠀\begin{gathered}:\implies\sf\: 11x=77\end{gathered}

⠀⠀⠀⠀⠀⠀\begin{gathered}:\implies\sf\: x= \dfrac{7}{11} \end{gathered}

⠀⠀⠀⠀⠀⠀\begin{gathered}:\implies\sf\: x=7\end{gathered}

━━━━━━━━━━━━━━━━━

\sf{\underline{\blue{Putting\:the\:values-}}}

  • \sf\:Number\:of\:Rs\:5\:coins=x=7

  • \sf\:Number\:of\:Rs\:2 \:coins\: =3x= 3 × 7 = 21

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