Question

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1)A bag containing total 15 coins of rupees 2 and 5 coins .If the total value of the coins is rupees 45, then find out the number of each type of coins?

First answer will be the Brainleast !

Answer 1

$\tt\it\bf\it\large\bm{\mathcal{\fcolorbox{blue}{white}{\red{Question:-}}}}$

A bag containing total 15 coins of rupees 2 and 5 coins .If the total value of the coins is rupees 45

$\tt\it\bf\it\large\bm{\mathcal{\fcolorbox{blue}{white}{\blue{Given:-}}}}$

➠ Total no of coin➨15

➠ Total value of coin➨Rs 45

$\tt\it\bf\it\large\bm{\mathcal{\fcolorbox{blue}{white}{\orange{To\:Find:-}}}}$

Number of each type of coins?

$\tt\it\bf\it\large\bm{\mathcal{\fcolorbox{blue}{white}{\pink{Formula\:to\:be\:Used:-}}}}$

No formula just $\tt{\red{Unitary\: method}}$

$\tt\it\bf\it\large\bm{\mathcal{\fcolorbox{blue}{white}{\green{Solution:-}}}}$

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Let, no.of coins of rupees 2 be x

then,no.of coins of rupees 5 are (15-x)

$\tt{\red{ATQ}}$:-

Total rupess = 45

➠ 2x + (15-x)*5 = 45

➠ 2x+75-5x = 45

➠ -3x = 45-75

➠ -3x= -30

➠ 3x = 30

➠ x = 10

•°• No. of coins of Rs 2 are 10

•°• No. of coins of Rs 5 are (15-10) = 5

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$\tt\it\bf\it\large\bm{\mathcal{\fcolorbox{blue}{white}{\red{Some\:related\:Formula\: used:-}}}}$

$= > s = \frac{( p \times r \times t)}{100}$

$= > amount = p {(1 + \frac{r}{n} )}^{nt}$

$\tt\it\bf\it\large\bm{\mathcal{\fcolorbox{blue}{white}{\orange{Some\:best\:book\: preference:-}}}}$

_______________________________________

•RD Sharma

•RS Aggarwal

•Ncert

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Answer 2

$\huge{\bf{\underline{\red{Solution :}}}}$

Let the number of Rupees 2 Coins in the bag = x

So, Number of Rupees 5 coins in the bag = 15 - x

∵give that total number of coins = 45

Now According to Question :

$\implies \bold{\sf{2x + 5(15 - x) = 45}}$

$\implies \bold{\sf{2x + 75 - 5x = 45}}$

$\implies \bold{\sf{75 - 3x = 45}}$

$\implies \bold{\sf{75 - 45 = 3x}}$

$\implies \bold{\sf{3x = 30}}$

$\implies \bold{\sf{x = \frac{30}{3}}}$

x = 10

So Rupees 2 Coins in Number = 10

Therefore Rupees 5 Coins in Number 15 - x = 15 - 10 = 5

$\bold{\sf{ So \ Number \ of \ Rupees \ 2 \ coins \ are \ 10 \ and \ number \ of \ Rupees \ 5 \ coins \ are \ 5}}$

$\rule{200}2$