Brain blocked on recalling this formula

[Keegan4123]

TL;DR

Need to manipulate T(final) = (m1_T1 + m2_T2) / (m1 + m2) to solve for m2

Trying to build a mixing fluid calculator and cannot for the life of me figure out how to solve for m2 rather then Tf

Got an answer to question 1, but bonus question: is there anyway to solve for m2 and m1 if mt is known?

IE given a total volume of mixture IE 99ml, at 20 deg. I know T1 is 25 deg, and T2 is 10.. Using the math it tells me I need 33ml of T2 and 66ml of T1. This will be built into a spreadsheet, is there anyway to calculate both t1 and t2 at the same time?

 

[tech99]

I suggest it is,
m2 = m1 (T1 - Tf) / (Tf - T2)

 

[Keegan4123]

I suggest it is,
m2 = m1 (T1 - Tf) / (Tf - T2)

Thank you so much!