Question 1031183
Aarushi has a total of RS 590 as currency notes in the denominations of RS 50, RS 20 and RS 10. The ratio of number of RS 50 and RS 20 is 3:5. If she has total of 25 notes, how many notes of each denomination she has?
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Value:: 50f + 20t + 10n = 590
Quantity:: 5f = 3t
Quantity:: f + t + n = 25
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Modify to solve::
f = 3/5 t
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Substitute to get:
30t + 20t + 10n = 590
(8/5)t + n = 25
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50t + 10n = 590
8t + 5n = 125
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50t + 10n = 590
16t + 10n = 250
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Subtract and solve for "t":
34t = 340
t = 10 (# of RS20 bills)
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f = (3/5)t = 6 (# of RS 50 bills)
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n = 25-(8/5)t = 25-16 = 9 (# of RS10 bills)
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Cheers,
Stan H.
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