madhu has a Total of rupees 640 as currency notes in denomination rupees 50,20,10. the ratio of the nu. of rupees 50notes and rupees 20 notes is 3:5 if she has a Total of 30 notes of each denomination has she.
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Question-
Madhu has a Total of rupees 640 as currency notes in denomination rupees 50,20,10. the ratio of the no. of rupees 50notes and rupees 20 notes is 3:5 if she has a total of 30 notes of each denomination has she.
Answer-
50 notes= 6
20 notes= 10
10 notes= 14
Steps-
Number of 50 notes = 3x
Number of 20 notes = 5x
Number of 10 notes = 30-(3x+5x)
=30-8x
Then,
(50*3x) + (20*5x)+ 10(30-8x) = 640
⇒ 150x + 100x + 300 -80x = 640
⇒ 250x -80 x = 640-300
⇒ 170x = 340
⇒ x = 340/170
⇒ x =2
50 notes = 3x = 3*2 =6
20 notes = 5x = 5*2 =10
10 notes = 30-8x = 30-8*2 = 30-16 = 14
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