Natasha has a total of Rs.590 as currency notes in the denominations of Rs.50, Rs.20 and Rs.10. The
ratio of the number of Rs.50 notes and Rs.20 notes is 3:5. If she has a total of 25 notes, how many notes
of each denomination she has?
Answers
Answer: hey mate !! i am giving you two solutions the one look easy from your side. you can do that one...........ok
Step-by-step explanation:
1. solution of your question
Let
No. of currency notes of Rs 50 = 3x
No. of currency notes of Rs 20 = 5x
No. of currency notes of Rs 10 = 25 - (3x+5x) = 25 - 8x
Amount made by Rs 50 notes = 50 × 3x = 150x
Amount made by Rs 20 notes = 20 × 5x = 100x
Amount made by Rs 10 notes = 10 × (25 - 8x) = 250 - 80x
Total money = 590
⇒ 150x + 100x + 250 - 80x = 590
⇒ 170x = 340
⇒ x = 2
Denominations:
Rs 50 = 3 × 2 = 6
Rs 20 = 5 × 2 = 10
Rs 10 = (25 - 8 × 2) = 9
2. solution of your question...
Since Rs 50 & Rs 20 are in the ratio we can write,
No. of Rs 50 notes = 3x
No. of Rs 20 notes = 5x
As She has a total of 25 notes,
So, we can write,
No. of Rs 10 notes = 25-(3x+5x) = 25-8x
Now we calculate the actual amount of each notes,
Rs 50 note amount to = 50×3x = 150x
Rs 20 note amount to = 20×5x = 100x
Rs 10 note amount to = 10×(25-8x) = 250-80x
Total sum of money he has = Rs 590
According to the problem,
150x + 100x + 250 - 80x = 590
170x = 340
x = 2
Now we find out the actual no of notes in each case,
No. of Rs 50 notes = 3 × 2 = 6 ; No. of Rs 20 notes = 5 × 2 = 10 ; No.of Rs 10 notes = 25-(8 × 2) = 9