A sum of rupees 1000 is in the form of denominations of rupees 10 and rupees 50.If the total number of notes is 60. find the number of notes of each type?
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Step-by-step explanation:
Given: sum of rupees= 1000Rs
total number of notes=60
Let the total number of Rs 10 notes be x and Rs 50 notes be y.
x+y=60 ......(i)
10x+50y=1000 ......(ii)
multiply (i) by 10
10(x+y)=60*10
10x+10y=600 ......(iii)
subtract (iii) from (ii)
10x+50y-(10x+10y)=1000-600
10x+50y-10x-10y=400
50y-10y=400
40y=400
y=400/40
y=10
put the value of y in equation (i)
x+10=60
x=60-10
x=50
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