SOLUTION: Jill has $2 in nickels and dimes. She has twice as many nickels as she has dimes. How many nickels and how many dimes does she have? This is what I did: let n represent nickels

Question 206294: Jill has $2 in nickels and dimes. She has twice as many nickels as she has dimes. How many nickels and how many dimes does she have?
This is what I did:
let n represent nickels
let d represent dimes.
Jill has $2 in nickels and dimes:
5n + 10d = 200
She has twice as many nickels as she has dimes:
d=2n
5n + 10(2n)=200
5n + 20n = 200
25n=200
n=8
d=2n
d=2(8)
d=16
so if we have 8 nickels and 16 dimes, does it equal $2?
5n + 10d = 200
5(8) + 10(16) = 200
40 + 160 = 200
200 = 200
Is a true statement.
The answer in the book is 10 dimes and 20 nickels.
I am not sure how they get this answer, but it is also true.
5n + 10d = 200
5(20) + 10(10) = 200
100 + 100 = 200
200 = 200
True statement.

Found 2 solutions by Alan3354, scott8148:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Jill has $2 in nickels and dimes. She has twice as many nickels as she has dimes. How many nickels and how many dimes does she have?
This is what I did:
let n represent nickels
let d represent dimes.
Jill has $2 in nickels and dimes:
5n + 10d = 200
She has twice as many nickels as she has dimes:
d=2n
-----------
*** n = 2d, twice as many nickels.
Sub for n into other eqn.
5*2d + 10d = 200
20d = 200
d = 10
n = 20

Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
"She has twice as many nickels as she has dimes"

translation: "the number of nickels is twice the number of dimes" ___ n = 2d

you have this reversed in your solution
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