Question: Beth had a set of 125 gold coins. Carl gave Beth a gift of an additional 35 gold coins. Then, Beth decided to sell half of her coins. How many coins did Beth sell?
Answer with step-by-step thinking: Carl's gift added 35 gold coins to Beth's 125 - coin set, resulting in 135 + 25 = 160 gold coins. Beth chooses to sell half, or 160 / 2 = 80 of her gold coins.
So the answer is 80.

Question: The cheerleading coach is ordering new uniforms. There are 4 cheerleaders who need a size 2, a certain number who need a size 6, and half that number who need a size 12. If there are 19 cheerleaders total, how many cheerleaders need a size 6?
Answer with step-by-step thinking: Let s be the number of cheerleaders who need a size 6 and t be the number who need a size 12. We know that s = 2t and s + t + 4 = 19. Substituting the first equation into the second equation, we get 2t + t + 4 = 19. Combining like terms, we get 3t + 4 = 19. Subtracting 4 from both sides, we get 3t = 15. Dividing both sides by 3, we get t = 5. Substituting that value back into the equation s = 2t, we get s = 2 * 5 = 10.
So the answer is 10.

Question: Stan makes a playlist for the next time he goes running. He has 10 3-minute songs and 15 2-minute songs on his playlist. His entire run takes 100 minutes. If Stan wants a playlist to cover his entire run, how many more minutes of songs will he need in his playlist?
Answer with step-by-step thinking:
His playlist currently has a playtime of 10 songs * 3 minutes = 30 minutes from 3 - minute songs. It also has a playtime of 15 songs * 2 minutes = 30 minutes from 2 - minute songs. So far, his playlist lasts for 30 + 30 = 60 minutes. He therefore still needs 100 minutes for his run 60 minutes current playtime = 40 minutes.
So the answer is 40.