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In Jack's piggy bank, there is a collection of pennies, nickels, dimes, and quarters which amounts to $2.87.The number of quarters is one less than twice the number of nickels. There are 4 more pennies than nickels.
The number of dimes is twice the number of pennies. How many coins of each kind are there?

 Mar 2, 2021
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p+5n+10d+25q=287

q=2n-1

p=n+4

d=2p

 

substitution:

 

d=2n+8

n+4+5n+20n+80+50n-25=287

76n+59=287

76n=228

n=$\boxed{3}$

q=$\boxed{5}$

p=$\boxed{7}$

d=$\boxed{14}$

 Mar 2, 2021

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