Question

a boy has 50 paise and 25 paise coins. the number of coins is 94 and this value is rs 29.75 find the number of 50 paisa and 25 paisa coins​

Answer 1

$\huge{\blue{\bold{\underline{\underline{Answer :}}}}}$

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$\large{\green{\underline \bold{\tt{Given :-}}}}$

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• Boy has 50 paise and 25 paise coins

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• Total number of coins is 94

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• The value is Rs. 29.75

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$\large{\red{\underline \bold{\tt{To \: Find :-}}}}$

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• Number of 50 paisa and 25 paisa coins

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$\large{\orange{\underline{\tt{Solution :-}}}}$

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• Let the number of 50 paisa coins be x

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• Let the number of 25 paisa coin be y

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$\purple{\underline \bold{According \: to \: the \ question :}}$

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Total number of coins is 94

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➠ x + y = 94 -------- (1)

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Also given that , the value of total coins is Rs. 29.75

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$\sf \boxed { 1 \: Rs \: = \: 100 \: paisa}$

$\sf \boxed { 29.75 \: Rs \: = \: 2975 \: paisa }$

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➠ 50(x) + 25(y) = 2975

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⟮ Dividing the above equation by 25 ⟯

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➜ 2x + y = 119 ------- (2)

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⟮ Subtracting equation (1) from (2) ⟯

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➜ 2x + y - (x + y) = 119 - 94

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➜ 2x + y - x - y = 25

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➨ x = 25

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• Hence there were 25 coins of 50 paisa

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⟮ Putting x = 25 in (1) ⟯

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➜ x + y = 94

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➜ 25 + y = 94

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➜ y = 94 - 25

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➨ y = 69

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• Hence there were 69 coins of 25 paisa

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Answer 2

$\huge{\blue{\bold{\underline{\underline{Answer :}}}}}$

$\:\:$

$\large{\green{\underline \bold{\tt{Given :-}}}}$

$\:\:$

• Boy has 50 paise and 25 paise coins

$\:\:$

• Total number of coins is 94

$\:\:$

• The value is Rs. 29.75

$\:\:$

$\large{\red{\underline \bold{\tt{To \: Find :-}}}}$

$\:\:$

• Number of 50 paisa and 25 paisa coins

$\:\:$

$\large{\orange{\underline{\tt{Solution :-}}}}$

$\:\:$

• Let the number of 50 paisa coins be x

$\:\:$

• Let the number of 25 paisa coin be y

$\:\:$

$\purple{\underline \bold{According \: to \: the \ question :}}$

$\:\:$

• Total number of coins is 94

$\:\:$

➠ x + y = 94 -------- (1)

$\:\:$

Also given that , the value of total coins is Rs. 29.75

$\:\:$

$\sf \boxed { 1 \: Rs \: = \: 100 \: paisa}$

$\sf \boxed { 29.75 \: Rs \: = \: 2975 \: paisa }$

$\:\:$

➠ 50(x) + 25(y) = 2975

$\:\:$

⟮ Dividing the above equation by 25 ⟯

$\:\:$

➜ 2x + y = 119 ------- (2)

$\:\:$

⟮ Subtracting equation (1) from (2) ⟯

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➜ 2x + y - (x + y) = 119 - 94

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➜ 2x + y - x - y = 25

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➨ x = 25

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Hence there were 25 coins of 50 paisa

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⟮ Putting x = 25 in (1) ⟯

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➜ x + y = 94

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➜ 25 + y = 94

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➜ y = 94 - 25

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➨ y = 69

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Hence there were 69 coins of 25 paisa

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