Question

Sunita has some ₹ 50 and ₹ 100 notes amounting to a total of ₹15,500. If the total number of notes is 200, the find how many notes of ₹ 50 and ₹ 100 each, she has.​

Answer 1

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Let the number of ₹ 50 notes be x and ₹100 notes be y.

x+ y = 200………..(1)

Total value of ₹ 50 notes= 50 × x = 50x

Total value of ₹ 100 notes= 100 × x = 100y

50x + 100y = 15500

50( x+ 2y) = 15500

x+ 2y = 15500/50

x+ 2y = 310…………(2)

Subtracting eq 1& 2

x + y = 200

x + 2y = 310     [by elimination method]

(-) (-)     (-)

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-y = - 110

y = 110

On putting the value of y in equation 1

x+ y = 200

x + 110 = 200

x = 200-110

x = 90

Hence, she has ₹ 50 notes = 90 &  ₹100 notes = 110.

HOPE THIS WILL HELP YOU..

Answer 2

Answer:

Heya Mate:

Let the number of ₹ 50 notes be x and ₹100 notes be y.

x+ y = 200………..(1)

Total value of ₹ 50 notes= 50 × x = 50x

Total value of ₹ 100 notes= 100 × x = 100y

50x + 100y = 15500

50( x+ 2y) = 15500

x+ 2y = 15500/50

x+ 2y = 310…………(2)

Subtracting eq 1& 2

x + y = 200

x + 2y = 310 [by elimination method]

-y = - 110

y = 110

On putting the value of y in equation 1

x+ y = 200

x + 110 = 200

x = 200-110

x = 90

Hence, she has ₹ 50 notes = 90 & ₹100 notes = 110.