CBSE Class 10 Answered

Dear Student,

Let Ram has x coins of value Rs. 5 each

And y coins of value 25 paise each

i.e. y coins of value Rs. 0.25 each   …………………  {Note that 25 paise = Rs 0.25}

According to the statement, total number of coins = 140

So, x + y = 140 ……………..(i)

Also, total value of coins = Rs. 225

Which means 5 × (number of Rs. 5 coins) + 0.25 × (number of 25 paise coins) = 225

So, 5x + 0.25y = 225 ……………..(ii)

Substituting the value of y from equation (i) into equation (ii), we get

5x + 0.25(140 – x) = 225

5x + 0.25 × 140 – 0.25x = 225

5x – 0.25x + 35 = 225

4.75x = 190

So, x = 40 

Substituting this value of x in (i), we get

40 + y = 140

y = 140 – 40

So, y = 100

Hence,   Number of Rs. 5 coins       = 40

and         Number of 25 paise coins  = 100

Regards

Team

Topper Learning