Data Sufficiency

Hello, great site. I did search and could not find this topic. I am looking at general strategy for ds with variables.

I have been running through data sufficiency problems. I am slow to get through problems.

It is my understanding that the GMAT will never change the value of a variable in DS between parts i) and ii). Therefore, if it appears that it is possible to solve. A person can stop there. How necessary is it to complete the work?

(see OG11th/DS/#100(below) if needed)

If I solve part i) and find a variable's value in the process. When I look to part ii) should I simply make a cursory examination to see if multiple outputs exist, or should I simply work the problem out to verify my variables match on both parts.

On this particular problem, it seems that after I define the two equations for part ii), I should stop, but something inside of me tells me to continue solving.

The problem:
When a player in a certain game tossed a coin a number of times, 4 more heads than tails resulted. Heads or tails resulted each time the player tossed the coin. How many times did heads result?

1)The player tossed the coin 24 times.
2)The player received 3 points each time tails resulted, for a total of 52 points.

For part one, I know the problem can be solved simultaneously, and I find that t=10.

Then I look at part b, and since I found part 1) through simultaneously, it would appear to be sufficient. But should I double check my work?

Everyone does not have a OG to help you. Even if someone had it I am not sure they would go through the pain of looking up the question. So my suggestion is to post the question over here, you will get a much better response that way.

Regards