a person has rs 2000 .there are some 50 and 100 .if the total number of notes is 25 then find number of notes of each type
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30 rupees each notes on the best notes
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let the no. of 50 rupee note be x
let the no. of 100 rupee note be y
the total no of notes are 25
hence,
x+y=25.................(i)
no of 50rs note=x
amount of 50 rs note=50x
no of 100rs note=y
amount of 100rs note=100y
total ammount=2000rs
hence,
50x +100y=2000
50(x+2y)=2000
x+2y=2000/50
x+2y=40.................(ii)
on subtracting equation i &ii
x + 2y = 40
x + y = 25
(-) (-) (-)
---------------------------
y=15
y=100rs note
15 notes of 100rs
x=50 notes
10 notes of 50 rs
let the no. of 100 rupee note be y
the total no of notes are 25
hence,
x+y=25.................(i)
no of 50rs note=x
amount of 50 rs note=50x
no of 100rs note=y
amount of 100rs note=100y
total ammount=2000rs
hence,
50x +100y=2000
50(x+2y)=2000
x+2y=2000/50
x+2y=40.................(ii)
on subtracting equation i &ii
x + 2y = 40
x + y = 25
(-) (-) (-)
---------------------------
y=15
y=100rs note
15 notes of 100rs
x=50 notes
10 notes of 50 rs
adarsh6788:
so the 50 rs notes will be 10 and that of 100 will be 15.
yes
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15*100+10*50=2000...don't try too long process for this type of simple math
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