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# A collection of nickels, dimes, and quarters is worth 5.30.

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A collection of nickels, dimes, and quarters is worth 5.30. There are two more dimes than nickels and four more quarters than dimes. How many quarters were in the collection?

Jan 16, 2019

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A collection of nickels, dimes, and quarters is worth 5.30. There are two more dimes than nickels and four more quarters than dimes. How many quarters were in the collection?

this is an international forum. You should spell out the value of your currency.

I think...

You mean

\$5.30

a nickel is 5c

a dime is 10c

a quarter is 25c

Let N be the number of nickels, D be the number of dimes and Q be the number of quarters.

There are two more dimes than nickels

D=N+2

and four more quarters than dimes.

Q=D+4

so

Q=N+2+4=N+6

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5N+10D+25Q=530

N+2D+5Q      = 106

N+2(N+2)+5(N+6)=106

N+2N+4+5N+30=106

8N+34               =  106

8N        = 72

N   =9

so

N=9      D=11   and   Q=15

check  9*5+11*10+15*25 = 530         Das ist ausgezichnet!

So wir haben

9 nickels,  11 dimes, and  15 quarters.

Jan 16, 2019