This one is a bit of a challenge to me; it confuses my brain :P
Rachel has an envelope that contains only pennies, nickels, dimes, and quarters. There is more than $.85 and less than $1.60 in the envelope. There is at least one of each coin in the envelope. Using the information above, and the following clues, solve the problem:
There are 3 times as many nickels as dimes.
There are twice as many dimes as quarters. There are an equal number of pennies as quarters.
~~~
medal to anyone who can figure this out :P

Question

This one is a bit of a challenge to me; it confuses my brain :P
Rachel has an envelope that contains only pennies, nickels, dimes, and quarters. There is more than $.85 and less than $1.60 in the envelope. There is at least one of each coin in the envelope. Using the information above, and the following clues, solve the problem:
There are 3 times as many nickels as dimes.
There are twice as many dimes as quarters. There are an equal number of pennies as quarters.
~~~
medal to anyone who can figure this out :P

kinggeorge · Answer

Well, since you have at least one of each, $.25+.1+.05+.01 = .41$ so you're really looking for coins that add to more than $.85-.41=.44$ and less than $1.60-.41=1.19$. After that is where it gets more complex.

anonymous · Answer

thats confusing :O

anonymous · Answer

$$85<p+5n+10d+25q<160$$$$n=3d=6q$$$$d=2q$$$$p=q$$

anonymous · Answer

what?? D:

anonymous · Answer

$$85<76q<160\rightarrow q=2$$

kinggeorge · Answer

That's much better way to do it than I was trying.

anonymous · Answer

the choices areee:
$1.02
$1.22
$1.51
$1.52

anonymous · Answer

So there are 2 pennies, 12 nickels, 4 dimes, and 2 quarters.

anonymous · Answer

ohhh okk :P thanks, ill just go ahead and give yall both medals

anonymous · Answer

I think that's a dollar fifty-two.

anonymous · Answer

lol :3 ok thanks