deveshi has a total of rupees 590 as currency notes in the denomination of rupees 50 rupees,
20 rupees 10 the ratio of the number of rupees 50 notes and 20 notes is 3 ratio 5 if she has a total of 25 notes how many notes of each denomination she has
Answers
Step-by-step explanation
Let the number of rupees 50 notes and rupees 20 notes be 3x and 5x, respectively.
But she has 25 notes in total
Therefore the number of rupees 10 notes = 25 - [ 3x - 5x ] = 25 - 8x
The amount she has
from rupees 50 notes : 3x multiplied by 50 = 150x
from rupees 20 notes : 5x multiplied by 20 = 100x
from rupees 10 notes : [ 25 - 8x ] X 10 = [ 250 - 80x ]
Hence the total money she has = 150x + 100x + [ 250 - 80x ] = rupees[ 170x + 250 ]
But she has rupees 590, Therefore,
170x + 250 = 590
or, 170x = 590 - 250 = 340
or, x = 340 over 170 = 2
The number of rupees 50 notes she has = 3x
= 3 X 2 = 6
The number of rupees 20 notes she has = 25 - 8x
= 25 - [ 8 X 2 ] = 25 - 16 = 9
I hope it helped you
Note : the word or currency rupees can also be substituted by dollars pounds euros etc
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