SOLUTION: The value (in cents) of the change in a purse that contains twice as many nickels as pennies, two more dimes than nickels, and as many quarters as dimes and nickels combines. how m

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Question 1109993: The value (in cents) of the change in a purse that contains twice as many nickels as pennies, two more dimes than nickels, and as many quarters as dimes and nickels combines. how many cents are there?
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
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twice as many nickels as pennies, two more dimes than nickels, and as many quarters as dimes and nickels combined.
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system%28n%2Fp=2%2Cd-n=2%2Cq=d%2Bn%29

system%28n=2p%2Cd-n=2%2Cq=d%2Bn%29

system%28d-2p=2%2Cq=d%2B2p%29

system%282p=d-2%2C2p=q-d%29
d-2=q-d
q=2d-2
q ,d, p, n, must be a whole number or better, some natural number. 1 will not work for d; 2 MIGHT work for d. If not work, go upward from there (and keep going, to find more possible results),...

system%28d=4%2Cn=2%2Cq=6%2Cp=1%29

4 dimes
2 nickels
6 quarters
1 penny

$2.01

Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


There is not enough information to get a single answer....

Let x = the number of pennies.
Then 2x = the number of nickels (twice as many nickels as pennies)
Then 2x+2 = the number of dimes (two more dimes than nickels)
Then 4x+2 = the number of quarters (as many quarters as dimes and nickels combined)

The value of the coins is


If there is just 1 penny, then the total value is 131(1)+70 = 201.
If there are 2 pennies, then the total value is 131(2)+70 = 332.
If there are 3 pennies,....