Question

A piggy bank has only one rupee and 50 paise coins. If there are three times as
many 50 paise coins as one rupee coins and the total money in this bank is 35.
How many coins of each kind are there​

Answer 1

☞ A piggy bank has one rupee and 50 paise coins.

$\textbf{Let one rupee coins be x.}$

☞ Also said that, If 50 paise coins are three times of one rupee coins.

$\textbf{50 paise coins = 3 x one rupee coins}$

=> 50 paise coins = 3x _______(eq 1)

• 50 paise = 1/2 Rupee

=> 50 paise = 3x/2

☞ The total money in this bank is 35.

Total money = 1 rupee coins + 50 paise coins

=> x + $\dfrac{3x}{2}$ = 35

=> $\dfrac{2x\:+\:3x}{2}$ = 35

=> 5x = 35 × 2

=> 5x = 70

=> x = 14

• Put in (eq 1)

50 paise coins = 3(14)

=> 42

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$\textbf{In \:piggy \:bank \:there\: are \:14\:coins\: of \:one}$ $\textbf{rupee \:and \:42 \:coins \:of\: fifty \:paise.}$

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