Question

I have x50 notes and y100 notes. There are eight notes altogether and their total value is 550. How many of each notes do I have

Answer 1

Answer:

let no. of ₹50 note be x

let no. of ₹100 note be y

x+y =8

x=8-y ..(1)

x50+y100=550

50(x+2y) =550

x+2y =11

8-y+2y=11. by eq(1)

y=11-8

y=3

x+y =8

x+3=8

x=5

Answer 2

Answer:

There is 5 notes of ₹50 and 3 notes of ₹100.

Step-by-step explanation:

It is given that there are x notes of ₹50 and y notes of ₹100. Also there are eight notes altogether and their total value is 550.

• First equation is given by x + y = 8 as there are eight notes altogether.
• Second equation is given by ;

                       50*x + 100*y = 550

                       50*x + 100*(8 - x) = 550   {from first equation taking value of y}

                       50*x + 800 - 100*x = 550

                       100*x - 50*x = 800 - 550

                        50 * x = 250

                          x = 250/50 = 5.

Now, putting value of x in equation 1 we get;

                          5 + y =8  ⇒ y = 3 .

Hence, there are 5 notes of ₹50 and 3 notes of ₹100.