Question

Fatima had 100 coins in her piggy bank. It contained twice as many 1 rupee coins at 50 paisa coins and some 25 paisa coins. The total amount is rupees 60.How many each coins she have

Answer 1

HEY MATE
HERE IS YOUR ANSWER
Let the no. of 1 rupee coins be x
no. of 50 paisa coins will be 2x
and no. of 25 paisa coins will be y

Value of 50 paisa coins will be 2x*1/2 rupee. ( 50 paisa = 1/2rupees)
Value of 50 paisa coins =x

Value of 25 paisa coins=y*1/4 (25 paisa =1/4rupees)
Value of 25 paisa coins=y/4

Total no. of coins = 100

x+2x+y=100
3x+y=100
6x+2y=200 (multiplying by 2)-----------------(I)

Total value is 60
x+x+y/4=60
2x+y/4=60---------------(II)
6x+3y/4=180(multiplying by 3)----------------(II)

(I)-(II)
6x+2y-6x-3y/4=200-180
2y-3y/4=20
taking LCM
8y-3y=20*4
5y=80
y=16
3x=100-y
=100-16
=84
x=28
Total no of 1 rupee coins will be 28
Total no. of 50 paisa coins will be 28*2=56
Total no. of 25 paisa coins will be 16



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Answer 2

Answer:

Let's first understand the que. ---

फातिमा के गुल्लक में 100 सिक्के थे। इसमें

जितने 50 पैसे के सिक्के थे उससे दुगना एक

रुपए के सिक्के थे और 25 पैसे के कुछ और सिक्के भी शामिल थे। धन की कुल राशि 60 थी। उसके पास तीनो मुल्य के कितने सिक्के थे?

Step-by-step explanation:

Total number of coin= 100

let ,number of 50 Paisa coin =X

so, number of one rupee coin = 2x also, number of 25 Paisa coin =

100 - X + 2 X

= 100 - 3X

now ,amount of 50 Paisa coin =

50*X

then, amount of hundred Paisa coin I.e. one rupee coin =

100 *2 X =

200 X

then, amount of 25 Paisa coin =

25 * (100 - 3 x)

= 2500 - 75 X

also, total amount =₹ 60

= 6000 Paisa

now,

50 X + 200 X + 2500 - 75 X = 6000

---------------------- (given) then, we would solve this -

50 X + 200 X + 2500 - 75 X = 6000

=)50 X + 200 X - 75 X = 6000-2500

=)250 x - 75 X = 3500

=)175X = 3500

=)X = 3500/ 175

=)X =20

now ,20 Paisa coin = X = 20

₹1 coin = 2 X = 40

25 Paisa coin 100 - 3x = 40