a sum of 500 rupees is in the form of denominations of 5 rupees and 10 rupees if the total number of notes is 90 find the number of notes of each type
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hey mate!
Let the number of Rs 5 notes be x Hence the number of Rs 10 notes be (90 − x) Total sum of money = Rs 500 ∴ 5x + 10 (90 − x) = 500 5x + 900 − 10x = 500 − 5x = 500 − 900 = −400 ∴ x = 80 Hence there are 80 notes of Rs 5 and 10 notes of Rs 10.
pankajkumar66:
where
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let the numbers of rs.5 be X.
and the numbers of rs.10 be y.
a/q
X+y=90 ...eqn(1)
5x+10y=500 ...eqn(2)
X+y=90. × 10
5x+10y =500. ×1
10x+10y=900
5x+10y=500
subtracting eqn (1)and (2)
we get
X= 80
put the value of X in eqn (1)
80+y=90
we get
y=10
X=80 , y = 10
check
5×80+10×10=400+100=500
10+80=90
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