Question

A bag contains 94 coins of 50 paise and 25 paise denominations. If the total worth of these coins is Rs. 29.75, find the number of coins of each kind. pls

ans this

Answer 1

Gɪᴠᴇɴ :-

• Total coins = 94
• Total money = 29.75 ₹ × 100 = 2975 paise
• Dimensions of notes = 50 & 25 paise

ᴛᴏ ғɪɴᴅ :-

Number of :-

• 25 paisa coin
• 50 paisa coin

sᴏʟᴜᴛɪᴏɴ :-

Let numbers of 25 paisa coins be x and 50 paisa coins be y

then,

According to 1st condition :-

• Total coins = 94
• Number of (25 paisa + 50 paisa) = 94

➭ x + y = 94

➭ x = 94 - y. --(1)

According to 2nd condition :-

• Total money = 2975 paisa

25(No of 25 p coins) + 50(No of 50 p) = 2975

➭ 25×x + 50×y = 2975

➭ 25x + 50y = 2975

➭ 25(x + 2y) = 2975

➭ x + 2y = 119

➭ x = 119 - 2y. --(2)

From (1) and (2) , we get,

➭ 94 - y = 119 - 2y

➭ 2y - y = 119 - 94

➭ y = 25

Put y = 25 in (1) , we get

➭ x = 94 - y

➭ x = 94 - 25

➭ x = 69

Hence,

Number of :-

• 25 paisa coins = x = 69
• 50 paisa coins = y = 25

Answer 2

Step-by-step explanation:

hope it helps you...

happy to help