A problem for you mathmaticians!

[Boomyal]

Here is the deal, I need to order 4000 lbs, combined, of two different filter medias. I need to figure out how many 50 lb bags of each media I need to order to make up that total, in the proper ratio.

My current supplier has just raised it's price by 26%. I cannot pass this increase along to the customer nor can I absorb it. Whereas I have been buying the mixed media in 43 lb buckets, I may be able to get them cheaper, by the pallet, in 50 lb bags.

When I have been purchasing it in the 43 lb bucket the separate layered medias (I mix them up in an electric cement mixer for administration) each weigh the following: Media A weighs 35 lbs. Media B weighs 7 lbs.

How many bags of each media do I need to order to make up a 4000 lb load?

 

[fhhuber]

4000 / 50 = 400 / 5 = 80 total 50 lb bags.

35 (A) + 7 (B) = 42

80/42 = 1.9047

1.9047 * 35 = 66.6666.......
67 bags of A
14 bags of B

You'll have some left over of each.

 

[MTboatguy]

God, I feel like I am back in High School and I didn't do very good at that!



:lol:

 

[Boomyal]

God, I feel like I am back in High School and I didn't do very good at that!



:lol:

You and me both!

 

[thumpar]

What is the ratio that you mix it at?

 

[fhhuber]

I took this:

Media A weighs 35 lbs. Media B weighs 7 lbs.

To be the ratio... since it was the only ratio in the OP.

 

[sam am I]

In words?........

Each batch = 42lbs............35lbs of part A and 7lbs part B = 42lbs

Wanted 4000lbs of mix

4000lbs at 42lbs per batch = 4000/42 = 95.24 batches can be made with 4000lbs of mix

95.25 batches of part A requires 95.25 * 35 lbs = 3333lbs of A

95.25 batches of part B requires 95.25 * 7lbs = 666lbs of B

3333lbs of A in 50lbs bags = 3333lbs/50lbs = 66.66 (67) 50lbs bags of A

666lbs of B in 50lbs bags = 666lbs/50lbs = 13.32 (14) 50lbs bags of B

What is the ratio that you mix it at?

mix ratio appears to be 35 parts A divided by 7 parts B, 35/7 = 5 parts A to 1 part B or 5:1 by weight

 

[gm280]

sam am I hit it correct. Since there are a total of 6 parts (5:1), divide 4000 by 6 and you arrive at what each part would be. And then multiple that times each part in the mixing ratio and you have it.

 

[Boomyal]

Excellent all. Thanks for the calculations and the explanations!

 

[Boomyal]

I wanted to verify this calculation but something is not adding up and I cannot see where. I changed the numbers a little bit but followed all from above. Here is what I did.

4000 lbs total. 36 lbs part A and 7 lbs part B = 43 lbs of half cubic foot load.

4000 lbs / 43 lbs = 93 batches

93 batches of A @ 36 lbs = 3348 lbs

93 batches of B @ 7 lbs = 651 lbs

3348 + 651 = 4000 lbs (round numbers)

SO FAR, SO GOOD, BUT NOW I HAVE TO TRANSLATE THIS INTO THE APPROPRIATE NUMBER 50 LB BAGS, OF EACH PART, TO MAKE UP THE 4000 LB ORDER. THIS WHERE IT BREAKS DOWN

3348 lbs of Part A / 50 lb = 67 bags

651 lbs of Part B / 50 lb = 13 bags

13 + 67 = 70 50 lb bags

When I multiply 70 bags by 50 lbs I only come up with 3500 lbs total, not the 4000 lbs that they added up to above. :help:

 

[GA_Boater]

13 + 67 = 70 50 lb bags

How much is 13+70? LOL

 

[gm280]

How much is 13+70? LOL

Good one GA_Boater. But it was an easy mistake on his part.

Amazing that 80, 50 pound bags actually come out to = ?

 

[sam am I]

hehe , he had me for about 3 sec on that.........Boom! Stop that!!

 

[Boomyal]

How much is 13+70? LOL

Whoops!! I really blew it. :facepalm: I thought it would be something simple, but not something stupid! :noidea:
I knew there had to be 80 50 lb bags to make up 4k lbs, I just couldn't get my calculations to arrive at that.

 

[gm280]

Whoops!! I really blew it. :facepalm: I thought it would be something simple, but not something stupid! :noidea:
I knew there had to be 80 50 lb bags to make up 4k lbs, I just couldn't get my calculations to arrive at that.

Ha when in doubt, fake it. Always works for me.

 

[sam am I]

I use the age card

 

[gm280]

I use the age card

sam am I, I would use the age card too if I could remember where I put it. :facepalm:

 

[sam am I]

sam am I, I would use the age card too if I could remember where I put it. :facepalm:

I hear ya man.......sorta, hearing going too

 

[NYBo]

God, I feel like I am back in High School and I didn't do very good at that!



:lol:

My math teacher used mixtures of different types of candy for such problems. Using filter media instead would probably have resulted in even more blank stares than the candy did!