Need help with an Algebra word problem.

[Shibby]

I can't for the life of me seem to get this set up right to get an answer.

A candy store sells boxes of candy containin caramels and cremes. Each box sells for $12.50 and holds 30 pieces of candy (all pieces are the same size). If the caramels cost $0.25 and the cremes cost $0.45 to produce, how many of each should be in a box to make a profit of $3?

[bad14u]

are the caramels and cremes seperate or mixed together?

[Shibby]

mixed together. It's a box of both and we are trying to figure out how many of each candy the box should contain.

[coffee-guy]

Wouldn't 12 cremes and 18 caramels give you $9.50 and then you mark them up 24% to get a $3 profit?

[Shibby]

but how do you get that?

[coffee-guy]

I'm not sure - I just used to spend a ton of time with retail...

Let me see if I can write an equation....

[bad14u]

Wouldn't 12 cremes and 18 caramels give you $9.50 and then you mark them up 24% to get a $3 profit?

12 cremes would make it 5.40
18 carmels....................4.50
--------------------------------
$9.90 a box......right?

[Shibby]

The example is something like this I thought.

.45x + .25(30-x)= 9.5(30)

[Shibby]

12 cremes would make it 5.40
18 carmels....................4.50
--------------------------------
$9.90 a box......right?

True, but 10 cremes and 20 caramels is 9.5, but I can't get the problems set up right.

[coffee-guy]

12 cremes would make it 5.40
18 carmels....................4.50
--------------------------------
$9.90 a box......right?

Sorry - It's 10 and 20...

[Pudgy-R]

umm pie or something.

[BBAddict]

The example is something like this I thought.

.45x + .25(30-x)= 9.5(30)

You're right except leave off the 30.
.45x + .25(30-x)= 9.5

[bad14u]

http://www.algebrahelp.com/

[coffee-guy]

You're right except leave off the 30.
.45x + .25(30-x)= 9.5

Can you show your work - I am getting this back asswards trying to do it now...

[Shibby]

You're right except leave off the 30.
.45x + .25(30-x)= 9.5

Damn, I knew it was something little that I was messing up. But the example problem had the total cost times the total amount it was looking for. So I was trying to set it up the exact same. Thanks BBaddict, sometimes it just needs fresh eyes.