[Question]At his craftwork store, Howard has a collection of 70 wooden bowls where he rewards two to his customers for every 10 they buy. If he had 20 customers that day, half of whom bought 20 bowls each, calculate the number of bowls remaining in the rewards collection.
[Answer]Half of the 20 customers, which is 1 / 2 * 20 = 10 bought 20 bowls each, receiving 2 for every 10. The total number of reward bowls each customer who bought 20 bowls received is 2 + 2 = 4. If 10 customers bought 20 bowls, Howard gave away 4 * 10 = 40 bowls as rewards. The total number of reward bowls that remained is 70 - 40 = 30. The answer is 30.

[Question]If Brooke adds eight balloons to his current 12, and Tracy adds 24 to her current 6, how many balloons will they have in total if Tracy pops half of her balloons?
[Answer]When Brooke gets twelve more balloons, his total becomes 12 + 8 = 20. When Tracy adds 24 more balloons to her 6, her total number of balloons becomes 24 + 6 = 30. When half of Tracy's balloons pop, she remains with 1 / 2 * 30 = 15. The combined total balloons for the two is 15 + 20 = 35 balloons. The answer is 35.

[Question]The area of a triangle with a given base and height is given by 1/2*base*height. What is the base length of a triangle with height 8 and area 24 square units?
[Answer]Let b be the base of the triangle. (1 / 2) * b * 8 = 24. 4 * b = 24. b = 6. The answer is 6.

[Question]Johnny is a guitar player and he has three colors of guitar picks: red, blue, and yellow. Half of his picks are red, one-third of the picks are blue, and the rest are yellow. If he has 12 blue picks, what is the total number of yellow picks in his collection?
[Answer]
If one third (1 / 3) of his picks are blue, then 3 times the total number of blue picks equals his total pick count, or 3 * 12 = 36 picks. If half of the picks are red, then he has 36 / 2 = 18 red picks. If the rest of the picks are yellow, then he has 36 - 18 - 12 = 6 yellow picks. The answer is 6.