Question

Students of a school prepared some articles on the occasion of Deepawali

to help the poor people. They made Diyas, candles, rangoli, flower

decoration kits and homemade sweets and distributed in a slum area.

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

number of 10-rupee coins invested on making sweets.

(i) How many numbers of 1-rupee coins they collected?

(ii) How many numbers of 2-rupee coins they collected?

(iii) How many numbers of 10-rupee coins they collected?

(iv) How much money is invested in making diyas?​

Answer 1

Step-by-step explanation:

Students of a school prepared some articles on the occasion of Deepawali

to help the poor people. They made Diyas, candles, rangoli, flower

decoration kits and homemade sweets and distributed in a slum area.

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

number of 10-rupee coins invested on making sweets.

(i) How many numbers of 1-rupee coins they collected?

(ii) How many numbers of 2-rupee coins they collected?

(iii) How many numbers of 10-rupee coins they collected?

(iv) How much money is invested in making diyas?

Answer 2

Answers are (i) 192 (ii) 48 (iii) 96 (iv) 96

Given - Number of coins

Find - Multiple answers

Solution - Let the number of 1 Rupee coins be x.

So, the number of 10-rupee coins are x/2, 5-rupee coins are x/3 and 2-rupee coins are x/4.

Now, total number of coins are 400. So, finding the value of x.

$x + \frac{x}{2} + \frac{x}{3} + \frac{x}{4} = 400$

Taking LCM of 2,3,4, we get 12

$\frac{(x \times 12) + (x \times 6) + (x \times 4) + (x \times 3)}{12} = 400$

$12x + 6x + 4x + 3x = 400 \times 12$

$25x = 4800$

$x = \frac{4800}{25}$

x = 192

Number of 1 Rupee coins = 192

Number of 10 Rupee coins = 192/2

Number of 10 Rupee coins = 96

Number of 5 Rupee coins = 192/3

Number of 5 Rupee coins = 64

Number of 2 Rupee coins = 192/4

Number of 2 Rupee coins = 48

(i) Number of 1-rupee coins collected were 192.

(ii) Number of 2-rupee coins collected were 48.

(iii) Number of 10-rupee coins collected were 96.

(iv) All the 2-rupee coins were invested in making diyas. So, investment= 48*2

Investment = Rs. 96

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