Question

Sushant collected a sum of rupees 150 in a piggy bank.He had put into it only Rs 2 Rs 5 and Rs 10 coins. if rupees 10 and 5 coins are in the ratio 3 :7 and there are a total of 30 coins. find the number of coins of each type

Answer 1

Answer:

14   Rs 5 coins

6    Rs 10 coins

10    Rs 2 Coins

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Step-by-step explanation:

assume coin of  5 & 10 are respectively  a & b

b/a = 3/7

b = 3a/7

number of 2 rs coin = 30- a -b

30-a-3a/7

5a + 10*3a/7 +2*(30-a-3a/7) = 150

35a+ 30a +2*(210-7a-3a) = 150*7

65a + 2*(210-10a) = 150*7

65a + 420 - 20a = 1050

45a = 630

a = 630/45

a = 14                Rs 5 coins

b = 3*14/7 = 6   Rs 10 coins

c = 30-14-6 = 10    Rs 2 Coins