Emily has a total of two hundred eight-two pennies, nickels, and quarters. She has three and a half times as many pennies as quarters and one-fifth as many nickels as quarters and one-fifth as many nickels as quarters. How many of each coin does she have?
Total Number of coins= 282
Let the number of pennies be x.
Let the number of quarters be y.
Let the number of nickels be z.
According to given,
Number of quarters= 3.5 times as many as pennies
Number of quarters=(1/5) times as many as nickles
z= 5y=(3.5x)*5= 17.5x
the number of pennies=12.81818181818= 13
the number of quarters=44.86363636363= 45
the number of nickels=224.31818181815= 224