Jen has three times as many nickels as dimes and six times a

   Jen has three times as many nickels as dimes and six times as many quarters as dimes. Jen has a total of 50 nickels, dimes, and quarters. The total value of the coins is $8.75. How many of each coin does she have?

Solution

Jen has three times as many nickels as dimes

Let no. of dimes be x

So, nickels = 3x

six times as many quarters as dimes

quarters = 6x

We know :A nickel is worth 5 pennies. A dime is worth 10 pennies. A quarter isworth 25 pennies

x*10 + 5*(3x) +25*(6x) = 8.75*100

10x+15x+ 150x = 875

x = 5

So, no. of Dimes --5

No. of nickels --- 15

No. of quaters --- 30