Sharat has 2 and 5 coins with him.If total number of coins are 16 and the amount of money is 50, Then the number of 2 and 5 coins are
Answers
Answer:
coins of 2 = 10 coins
coins of 5 = 6 coins
Step-by-step explanation:
is it helpful .
Given - Value of coins = 2 and 5
Total number of coins = 16
Total amount of money = Rs. 50
Find - Number of 2 and 5 coins
Solution - Let the number of 2 coins be x. So, number of 5 coins will be (16 - x).
Now, writing the information in statement in mathematical form -
2x + 5(16 - x) = 50
2x + 80 - 5x = 50
-3x = -30
x = 10
Therefore, number of 2 coins is 2x
Number of 2 coins = 20
And, number of 5 coins = (16 - x)
Number of 5 coins = (16 - 10)
Number of 5 coins = 6
Thus, number of 2 and 5 coins are 10 and 6.
Validating the answer -
2x + 5(16 - x) = 50
Keeping the value of x in above expression -
2*10 + 5(16 - 10) = 50
20 + 5*6 = 50
20 + 30 = 50
50 = 50
As, LHS equals RHS, value of x is correct.