Calling All Mathematicians

[DogRescuer]

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.

[WaxMaster1]

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.


Is this a trick question? The answer is 5 gallons

[WaxMaster1]

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.

[oneheadlite]

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 (http://www.calculatorsoup.com/calculators/math/ratios.php)

[DogRescuer]

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.

[DogRescuer]

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]

[davidc]

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

[WaxMaster1]

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]


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.

[WaxMaster1]

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.

[vobro]

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

[addysdaddy]

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

This is the easiest method I know of for doing the calc. Easy & accurate

[DogRescuer]

Awesome, math was never my strong suit.

[oneheadlite]

Awesome, math was never my strong suit.

Right there with ya man!

[andy0902]

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.

[oneheadlite]

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.

Thanks for breaking it down and making very easy to look at/solve!