Question 18 Students of a school prepared some articles on the occasion of Diwali to help the underprivileged people. They made diyas, candles and sweets. They collected total money Rs.1568. They got 1 rupee coins, 2 rupee coins, 5 rupee coins and 10 rupee coins. The number of 10 rupee coins are half of 1 rupee coins, 5 rupee coins are one third of 1 rupee coins and 2 rupee coins are one-fourth of 1 rupee coins. Total number of coins are 400. Total amount of 2 rupee coins is invested on making diyas and amount of 10 rupee coins invested on making sweets. 1. How many 1 rupee coins did they collect? b) 96 a) 100 c) 48 d) 192 2. How many number of 5 rupee coins they collected? b) 96 a) 65 c) 64 d) 102 3. How many number of 10 rupee coins they collected? b) 96 a) 10 c) 84 d) 12 4. How much money is invested on making diyas ? b) Rs. 48 a) Rs. 100 c) Rs. 196 d) Rs. 96

Since students of a school collected total money $ 1568, and they got 1 rupee coins, 2 rupee coins, 5 rupee coins and 10 rupee coins, and the number of 10 rupee coins are half of 1 rupee coins, 5 rupee coins are one third of 1 rupee coins and 2 rupee coins are one-fourth of 1 rupee coins, and total number of coins are 400, and total amount of 2 rupee coins is invested on making diyas and amount of 10 rupee coins invested on making sweets, to determine:

1. How many 1 rupee coins did they collect?

2. How many number of 5 rupee coins they collected?

3. How many number of 10 rupee coins they collected?

4. How much money is invested on making diyas?

The following calculations must be performed:

1 rupee coin = X
X + 1 / 2X + 1 / 3X + 1 / 4X = 400
2.083X = 400
X = 400 / 2,083
X = 192
192 + (192/2) + (192/3) + (192/4) = x
192 + 96 + 64 + 48 = X
400 = X
48 x 2 = 96

Therefore, 1) they collected 192 1-rupee coins, 2) 64 5-rupee coins, 3) 96 10-rupee coins, and 4) they invested $ 96 in making diyas.

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