Question

1: Saksham has a total of rs. 300 in coins of 1, 2 and 5. The number of rs.2 coins is 3 times the
number of rs.5 coins. The total number of coins is 160. How many coins of each type have
Saksham ?​

Answer 1

Answer:

14,78,26

Step-by-step explanation:

let no. of ₹5 coins be x

then no. of ₹2 coins = 3x

let no. of ₹1 coins be y

x + 3x + y = 160

4x + y = 160

x+y = 160/4

x + y = 40

y = 40 - x

value of

₹1 coins = 1 X (40-x) = 40-x

₹2 coins = 2 X 3x = 6x

₹5 coins = 5 X x = 5x

Total value = ₹300

(40-x) + 6x + 5x = 300

(40-x) + 11x = 300

40 + 10x = 300

10x = 300 - 40

10x = 260

x = 260/10

x = 26

Therefore

no. of ₹1 coins = 40-x = 40-26 = 14

no. of ₹2 coins = 3x = 3 X 26 = 78

no. of ₹5 coins = x = 26

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