There are Rs. 2 and 5 rs. coins in a purse. if there are 60 coins of value Rs. 195,find the number of coins of each kind
Answers
Answer:
The number of Rs.2 coins are found to be 35 and Rs.5 coins are found to be 25 in number.
Step-by-step explanation:
We can assume the number of Rs.2 coins and Rs.5 coins to be separate variables in order to form linear equations.
Hence, assuming number of Rs.2 coins and Rs.5 coins to be 'x' and 'y' respectively.
The total number of coins are given as: 60
Representing mathematically, we get:
x + y = 60 ...(i)
The total value of coins is given to us as: 195
Representing mathematically, we get:
2x + 5y = 195 ...(ii)
Multiplying (i) by 2, we get:
2x + 2y = 120 ...(iii)
Subtracting (iii) from (ii), we get:
2x + 5y - 2x - 2y = 195 - 120
3y = 75
Simplifying which, we get:
y = 25 ...(iv)
Now, substituting (iv) in (i), we get:
x + 25 = 60
x = 35
Thus, the number of Rs.2 coins and Rs.5 coins are found to be 35 and 25 respectively.
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Answer: The number of Rs.2 coins are found to be 35 and Rs.5 coins are found to be 25 in number
Step-by-step explanation:
We can assume the number of Rs.2 coins and Rs.5 coins to be variables as x and y respectively.
Given: total number of coins = 60
Total value of coins= Rs.195
Thus we get : x + y = 60
Hence putting the values we get : 2x + 5y = 195
= 2x + 2y = 120 (i)
=2x + 5y - 2x - 2y = 195 - 1203y = 75
Thus y = 25
=x + 25 = 60x = 35 (ii)
Thus, the number of Rs.2 coins and Rs.5 coins are found to be 35 and 25 respectively.
Hence with Rs. 2 and Rs. 5 coins were in total 60 of value Rs.195 in total. And we infer that number of Rs.2 coins found were 35 while Rs. 5 coins were 25 in number which makes up Rs.195 as 2 × 35 = 70 and 5 × 25 = 125. Thus we get 70 +125 = Rs.195.
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