Q19: Srishti has a total of Rs 780 as currency notes in the denominations of Rs 10, Rs 20 and
Rs 50. The ratio of the number of Rs 50 notes and Rs 10 notes is 3:2. If she has a total of 32
notes, how many notes of each denomination she has?
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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
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