A sum of Rs. 500 is in denominations of Rs. 5 and Rs. 10. If the total number of notes is 90, find the number of notes of each type?
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Answer:
No. of Rs 5 notes = 80
No. of Rs 10 notes = 10
Explanation:
Let no. of Rs 5 notes be x and no. of Rs 10 notes be y
Total number of notes is 90 ⇒ x + y = 90 ........(1)
Total amount = 500
5x + 10y = 500 ...(2)
Multiply equation (1) by 10
10x + 10y = 900 .....(3)
Subtract eqution (2) from equation (3)
10x + 10y = 900
5x + 10y = 500
----------------------
5x = 400
----------------------
x = 80
y = 10
No. of Rs 5 notes = 80
No. of Rs 10 notes = 10
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Answered by
0
Explanation:
Let no. of Rs 5 notes be x and no. of Rs 10
notes be y
Total number of notes is 90 ⇒ x + y =
90
Total amount = 500
5x+10y = 500
Multiply equation (1) by 10
10x+10y = 900
Subtract eqution (2) from equation (3)
10x + 10y = 900
5x+10y = 500
5x = 400
x = 80
y = 10
No. of Rs 5 notes = 80
No. of Rs 10 notes = 10
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