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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?

Jan 10, 2022

#1
0

Given,

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.

Therefore,

x+y+z= 282

According to given,

Number of quarters= 3.5 times as many as pennies

y= 3.5x

Also given,

Number of quarters=(1/5) times as many as nickles

y= z*(1/5)

z= 5y=(3.5x)*5= 17.5x

Therefore,

x+(3.5x)+(17.5x)= 282

22x= 282

x= 12.81818181818

y= 3.5*12.81818181818

y= 44.86363636363

z= 17.5*12.81818181818

z=224.31818181815

Therefore,

the number of pennies=12.81818181818= 13

the number of quarters=44.86363636363= 45

the number of nickels=224.31818181815= 224

Jan 10, 2022
#2
0

Guest Jan 10, 2022
#3
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q = #  quarters

p = # of pennies = 3.5 q

n = # nickels =  1/5 q                 summed they equal 282

q +   3.5 q  + 1/5 q = 282

4.7 q = 282

q = 60     then      p = 210       n = 12

Jan 10, 2022
#4
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Seems good with me

Guest Jan 10, 2022