Calculate sugar contribution based on OG

[Soazmedic]

Hello all.
I am trying to find out how to calculate the sugar contribution of a syrup I made from reducing the juice of prickly pear fruits. I boiled (slowly) 5 liters of freshly mashed and strained prickly pear fruit juice down to 1/2 gallon. I measured this liquid and got gravity reading of 1.050.
I want to add it in my primary to a wort with an OG of 1.054. I'm really trying to figure out how to add this information into beersmith so I can add proper hops to balance etc...
I did find this formula-- [Sg(1)*v(1)+sg(2)*v(2)]/(v(1)+v(2)) -- on here on how to calculate OG when combing liquids with different gravities, but it doesn't help me when building my recipe to check style guidelines. Unless I am missing something obvious. I HAVE only been brewing for a year and I am still learning. Thanks in advance!

 

[RPh_Guy]

That's the right equation. You just need help plugging in the numbers? I can help.

What's the volume of your wort?

I'm not sure what you mean by "add proper hops to balance". How much bitterness you need is more of an art and personal preference than a science.
And style guidelines are just guidelines

 

[Soazmedic]

That's the right equation. You just need help plugging in the numbers? I can help.

What's the volume of your wort?

I'm not sure what you mean by "add proper hops to balance". How much bitterness you need is more of an art and personal preference than a science.
And style guidelines are just guidelines

I am trying to figure out how to add it into beersmith as a fermentable item. I would like for it to be "within style" in case I find time to enter it into a competion. So, using beersmith, I can create a base recipe that "should" be within style and then I can tweak from there. I'm trying to get an idea of what the beer will be like before I brew it so I can understand where changes might need to be made. If that makes sense.
I believe I did the math right with the formula so I understand what my overall OG will be when going into primary with the wort and the juice.

Here are my values-
5 gal of 1.054 wort
0.5 gal of 1.050 prickly pear juice

Combined OG of 1.053 correct?

Keep the advice coming! I am sure I am way overthinking all this!

 

[RPh_Guy]

I get 1.054 (rounding 1.0537)

Probably overthinking it.
Look at the scoresheet for your competition. Are you scored based on the numerical OG, FG, or IBU (or bitterness ratio)? Doubt it.
I would simply ignore the fruit addition for fitting your beer to style.

Sorry, can't help with beersmith.

Cheers

 

[Soazmedic]

I get 1.054 (rounding 1.0537)

Probably overthinking it.
Look at the scoresheet for your competition. Are you scored based on the numerical OG, FG, or IBU (or bitterness ratio)? Doubt it.
I would simply ignore the fruit addition for fitting your beer to style.

Sorry, can't help with beersmith.

Cheers

I hear ya. I am all for throwing it together and experimenting. That is the fun of it. I just want it to be repeatable, if it is good, or to know how to make it better if it isn't. Also it would be good to know how to use the juice as an addition with other beers. Thanks for the help and input anyway!