When a player in a certain game tossed a coin a number of

Given: 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.
Let H = the total number of heads that resulted
Let T = the total number of tails that resulted
So, from the given information we can write: H - T = 4

Target question: What is the value of H?

Statement 1: The player tossed the coin 24 times.
We can write: H + T = 24, which means we now have the following system of equations:
H - T = 4
H + T = 24
Since we have a system of 2 different linear equations with 2 variables, we COULD solve the system for H and T, which means we could answer the target question with certainty [although we would never waste precious time on tests they actually performing the necessary calculations]
Statement 1 is SUFFICIENT

Statement 2: The player received 3 points each time heads resulted and 1 point each time tails resulted, for a total of 52 points
We can write: 3H + 1T = 52, which means we now have the following system of equations:
H - T = 4
3H + 1T = 52
Since we have a system of 2 different linear equations with 2 variables, we COULD solve the system for H and T, which means we could answer the target question with certainty
Statement 2 is SUFFICIENT

Answer: D

Cheers,
Brent

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