Acoin bank contains twice as many nickels as dimes and five times as many pennies as dimes. the value of the collection is $2.00 or 200cents. how many pennies, nickels, and dimes are in the collection?

N=number of nickles
d=number of dimes
p=number of pennies

so we have
"twice as many nickles as dimes"
n=2d
"five times as many pennies as dimes"
p=5d

we know that the total value is 200 cents

value=5n+10d+1p
200=5n+10d+p

we know that
n=2d
p=5d
sub those for n and p
200=5(2d)+10d+5d
200=10d+10d+5d
200=25d
divide both sides by 25
8=d
there are 8 dimes

easy, sub
n=2d
n=2(8)
n=16
16 nickles

p=5d
p=5(8)
P=40
40 pennies

40 pennies
16 nicles
8 dimes

As you know john locke said he wanted life liberty and the pursuit of happiness so thomas jefferson was inspired about what john locke said so thomas jefferson wrote the declaration of independence for people to be free for people to be happy

Cwill be your correct answer