Question

Srishti has a total of ₹780 as currency notes in the denominations of ₹10, ₹ 20 and ₹50. The ratio of the numbers of ₹50 notes and ₹10 notes is 3:2. If she has total of 32 notes, how many notes of each denominations she has?

Answer 1

Answer:

Let srishti has x no. of 10 rs notes, y no. of 20 rs notes, z no. of 50 rs notes

as no. of notes of 50 and 10 is in ratio 3:2

so z:x = 3:2

now she had total of 32 notes

so x + y + z = 32

and also total currency is 780

so

10x + 20y + 50z = 780

as z = (3/2)x

the equation becomes

10x + 20y + 75x = 780

85x + 20y = 780.

from

x + y + (3/2)x = 32

(5/2)x + y = 32

multiplying the equation by 20

50x + 20y = 640

subtracting it from

35x = 140

x = 4

z = (3/2)4 = 6

4 + 6 + y = 32

y = 22

Step-by-step explanation:

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