Question

Aman has 160 coins of Rs1, Rs2 and Rs 5 altogether. The total value of the money is Rs223. The number of Rs 2 coins is three times the number of Rs5 coins. Find the number of coins of each type

Answer 1

Answer:

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Answer 2

Answer:

Qᴜᴇsᴛɪᴏɴ:

Aman has 160 coins of ₹ 1, ₹ 2 and ₹ 5 altogether. The total value of the money is ₹ 223. The number of ₹ 2 coins is three times the number of ₹ 5 coins. Find the number of coins of each type.

♕︎Tᴏ Fɪɴᴅ:

✯The number of coins of each type.

⚢︎⚢︎⚢︎⚢︎⚢︎⚢︎⚢︎⚢︎⚢︎⚢︎⚢︎⚢︎⚢︎⚢︎⚢︎⚢︎⚢︎

Tʜᴇʀᴇғᴏʀᴇ Aɴsᴡᴇʀ:

Let the number of ₹ 1 coins be y.

Let the number of ₹ 5 coins be x.

Then, the number of ₹ 2 coins = 3x.

The total value of the money = ₹ 223

⁂ The total value of ₹ 1 coins = y × 1 = ₹ y.

The total value of ₹ 2 coins = 3x × 2 = ₹ 6x

The total value of ₹ 5 coins = x × 5 = ₹ 5x

⁂ y + 5x + 6x = 223

=> y = 223 - 11x