a purse contains 70 coins of both 10 paise and 50 paise. the total value of the money in the purse is Rs.19.find the number of 10 paise coins
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Answer:
here is your answer
In the above equation we have been given that 70 coins of 10 paise and 50 paise are mixed and the total value of the money is Rs. 19.
Let the number of 10 paise coins be x.
Let the number of 50 paise coins be y.
x+y=70⇒x=70−y______(1)
Now the total value of money is Rs. 19 = 1900 paise.
10x+50y=1900
Here, we will use the equation (1) by substituting the value of x, we get:
10(70-y) + 50y =1900
700 - 10y + 50y = 1900
40y=1900 -700
40y =1200
y=1200/40 =30
y = 30
And we have x =70-y
x=70−39=40⇒x=40
Hence there are 30 fifty paise coins and 40 ten paise coins in the purse.
Therefore, the correct option of the above equation is option C.
Note: Just be careful while doing calculation as there is a chance that you might make a mistake and get an incorrect answer.