Tina has only rupees to end up is 5.2 numbers if in all she has used 80 coins in her purse amounting to rupees 232, find the number of rupees 5 coins
Answers
Step-by-step explanation:
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let x be the no. of rs 2 coins and y be the no. of rs 5 coins.
thus, x+y=80. ..,..(1). ( bexause ahe has total 80 coins)
also the amount of all rs 2 coins and allrs 5 coins will be 2x and 5y respectively
thus,total amount =2x+5y
thus,2x+5y=232.......(2)
multiplying eqn(1)by 2 and then aubtraxting eqn (2) from eqn(1),we get
2x+2y=160
-2x-5y=-232
_____________
-3y=--72
y=24
no.of rs 5 coins are 24
Let the Number of 2 - Rupee coins in Tina Purse be : T
Let the Number of 5 - Rupee coins in Tina Purse be : F
Given that the Total Number of Coins in her Purse as : 80
⇒ T + F = 80
⇒ T = 80 - F
Given that these 80 Coins amount as : 232 rupees.
⇒ (2 × T) + (5 × F) = 232
But, we know that T = 80 - F
⇒ 2(80 - F) + 5F = 232
⇒ 160 - 2F + 5F = 232
⇒ 3F = 232 - 160
⇒ F = 72/3 = 24
⇒ The Number of 5 - Rupee coins = 24