Question

There are 800 coins in a bag valued as Rs. 315. If the coins are of 25 paise and 50 paise denomination, find

the number of coins of each denomination.​

Answer 1

A n s w e r

$\:\:$

G i v e n

$\:\:$

• Total number of coins are 800 and valued as Rs. 315

• The coins are of 25 paise and 50 paise denomination

$\:\:$

F i n d

$\:\:$

S o l u t i o n

$\:\:$

• Let 'x' be the number of 25 paise coins

• Let 'y' be the number of 50 paise coins

$\:\:$

$\bf \boxed { 1 \: Rs \: = \: 100 \: paise }$

• $\sf 315 \: Rs \: = \: 31500 \: paise$

$\:\:$

Given that , total number of coins are 800

$\:\:$

So,

$\:\:$

➜ x + y = 800 ⚊⚊⚊⚊ ⓵

$\:\:$

Also given that , the coins are of 25 paise and 50 paise denomination ad valued as Rs 315

$\:\:$

➜ x(25) + y(50) = 31500

$\:\:$

⟮ Dividing the above equation by 25 ⟯

$\:\:$

➜ x + 2y = 1260 ⚊⚊⚊⚊ ⓶

$\:\:$

⟮ Equation ⓶ - ⓵ ⟯

$\:\:$

➜ x + 2y -(x + y) = 1260 - 800

$\:\:$

➜ x + 2y - x - y = 460

$\:\:$

➨ y = 460 ⚊⚊⚊⚊ ⓷

$\:\:$

• Hence the number of 50 paise coins are 460

$\:\:$

⟮ Putting y = 460 from ⓷ to ⓵ ⟯

$\:\:$

➜ x + y = 800

$\:\:$

➜ x + 460 = 800

$\:\:$

➜ x = 800 - 460

$\:\:$

➨ x = 340

$\:\:$

• Hence the number of 25 paise coins are 340

$\:\:$

∴ The numbers of 25 paise and 50 paise coins are 340 & 460 respectively

Answer 2

Answer:

Go through the attachment for the required answer...!