Calling All Mathematicians

DogRescuer

DogRescuer

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Hey guys can you help with a formula technique on figuring out things such as:

If a gallon of a product will be dilulted 4:1, how many gallons will it render?

But what is the formula?

Give a man a fish he will eat for a day but TEACH a man to fish he will eat for a lifetime.

So please teach me.
 
DogRescuer said:
Hey guys can you help with a formula technique on figuring out things such as:

If a gallon of a product will be dilulted 4:1, how many gallons will it render?

But what is the formula?



Give a man a fish he will eat for a day but TEACH a man to fish he will eat for a lifetime.

So please teach me.
Click to expand...


Is this a trick question? The answer is 5 gallons
 
Ratio 4:1 would be 4 parts water to 1 part of concentrate. Whether it be ounces, gallons, etc. One gallon of your said product plus 4 gallons of water equals 5 gallons.
 
My read is that OP is looking for the actual formula in raw form to be able to use later so they can solve for whatever portion they don't know.

To clarify, when you said 4:1, did you mean 4 ounces to one gallon, or all gallons? For simplicity's sake I always convert everything to ounces when I'm mixing.

Sorry for the mobile link (replying from my phone), but if it's any help I've found this to be quick and easy:
Ratio Calculator
 
No sir no joke and onehdlight is spot on. Im thinking 4:1 is the ounces say 32oz ÷5.

Bottom line is I'm trying to learn how to figure out which product is cheaper.
 
I thought 4:1 was 5 into the bottles ounces ie . 32oz


QUOTE=WaxMaster1;1475313]Ratio 4:1 would be 4 parts water to 1 part of concentrate. Whether it be ounces, gallons, etc. One gallon of your said product plus 4 gallons of water equals 5 gallons.[/QUOTE]
 
3:1 = 4 parts. 10oz div. 4 = 2.5oz of the product you are going to dilute. Then add water for the remaining 7.5 oz.
10:1 = 11 32/11 = 2.9oz and 29.1 water

Dave
 
DogRescuer said:
I thought 4:1 was 5 into the bottles ounces ie . 32oz


QUOTE=WaxMaster1;1475313]Ratio 4:1 would be 4 parts water to 1 part of concentrate. Whether it be ounces, gallons, etc. One gallon of your said product plus 4 gallons of water equals 5 gallons.
Click to expand...
[/QUOTE]


Ok, if you want to talk ounces with your 4:1 example, it would go like this.

4 ounces water and 1 ounce concentrate = 5 ounces.

Doubling it would be 8 ounces of water and 2 ounces of concentrate would be 10 ounces

factor of 6 would be 24 ounces of water and 6 ounce of concentrate equals 30 ounces.
 
I think the part where you're getting hung up on is when you call a gallon or the "1" in your 4:1 example would be to call your gallon "128" and then you'd be using ounces.
 
Not sure I understand exactly what your looking for but at 4:1 and you mix 1 gallon 512 oz (water):128 oz product will yield 640 ounces. 640 ounces divided by a 32 ounce bottle will yield 20 bottles of product
 
davidc said:
3:1 = 4 parts. 10oz div. 4 = 2.5oz of the product you are going to dilute. Then add water for the remaining 7.5 oz.
10:1 = 11 32/11 = 2.9oz and 29.1 water

Dave
Click to expand...

This is the easiest method I know of for doing the calc. Easy & accurate
 
To be even more pedantic:
X = Volume of Concentrate
4X = Volume of water For a 4:1 dilution

To make a quart of final solution:
X + 4X = 32
5X = 32
X = 6.4 = Volume of Concentrate to use
4X = 25.6 = Volume of water

I know, you can imagine what party conversation with me is like.
 
andy0902 said:
To be even more pedantic:
X = Volume of Concentrate
4X = Volume of water For a 4:1 dilution

To make a quart of final solution:
X + 4X = 32
5X = 32
X = 6.4 = Volume of Concentrate to use
4X = 25.6 = Volume of water

I know, you can imagine what party conversation with me is like.
Click to expand...

Thanks for breaking it down and making very easy to look at/solve!
 
andy0902 said:
To be even more pedantic:
X = Volume of Concentrate
4X = Volume of water For a 4:1 dilution

To make a quart of final solution:
X + 4X = 32
5X = 32
X = 6.4 = Volume of Concentrate to use
4X = 25.6 = Volume of water
.
Click to expand...

I love it when people break out the algebra!

This really is the easiest method and is the most accurate.

I recommend that you get yourself some good quality measuring beakers that have oz and mL markings. These beakers and easy math make quick work of doing dilutions.
 
DogRescuer said:
Bottom line is I'm trying to learn how to figure out which product is cheaper.
Click to expand...
Once you figure out how many ounces of mixed solution you have, you can also then determine the price per oz. of mixed solution.
in your example of 4:1 you would have 640 oz of mixed solution.
divide the price of the product by 640 to get cost per oz.
Example:
product cost = 12.80 per gal
640/12.8 = .02; or 2 cents per oz.

doing it this way you can easily compare a 16oz bottle of one product with a 12oz bottle of another
 
Just to clear things up a bit on ratios. They are generic. As in, they can be used with any unit of measure (ounces, gallons, liters, etc). But you have to use the same unit of measure on both sides of the ratio. If they are different, you have to convert one to match the other.

Now, I know that sometimes ratios are presented with different units of measure specified. But that is different from has been discussed here.
 
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