a sum of rupees 800 is in the form of denominations of rupees 10 and rupees 20. if the total numbner of notes is 50,find the number of notes of each type
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no of rs 10 notes = 20
no of rs 20 notes = 30
no of rs 20 notes = 30
anyarao:
i want the full answer with solution.,,equation also
Let's call Rs. 10 x and Rs. 20 y:
x+y= 50
If we subtract y from both sides we get:
x= 50-y
It makes sense, right? If I take the Rs. 20 notes out of the total of 50 notes, then I am left with just the Rs. 10 notes. So remember this value of x, we will use it in the next equation:
10x+20y= 800 Now substitute for x:
10(50-y)+20y= 800
500-10y+20y= 800 Subtract -10y+20y on left and subtract 500 on both sides:
x+y= 50
If we subtract y from both sides we get:
x= 50-y
It makes sense, right? If I take the Rs. 20 notes out of the total of 50 notes, then I am left with just the Rs. 10 notes. So remember this value of x, we will use it in the next equation:
10x+20y= 800 Now substitute for x:
10(50-y)+20y= 800
500-10y+20y= 800 Subtract -10y+20y on left and subtract 500 on both sides:
10y= 300
y= 30 You have 30 notes of 20 Rs. and:
50-30= 20 notes of 10 Rs.
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Proof:
30(20)= 600
20(10)= 200
_ _ _ _ ----
Total..: 800 We have the correct answer
y= 30 You have 30 notes of 20 Rs. and:
50-30= 20 notes of 10 Rs.
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Proof:
30(20)= 600
20(10)= 200
_ _ _ _ ----
Total..: 800 We have the correct answer
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