A box has 2 dozen water bottles and half a dozen more apple bottles than water bottles. How many bottles are in the box? Give the rationale and then the answer.
Let's think step by step. Since a dozen has 12 items, the box has 2 dozen water bottles, a total of 2 * 12 = 24 water bottles. The box also has half a dozen more apple bottles than water bottles, meaning there are 1 / 2 * 12 = 6 more apple bottles than water bottles. The total number of apple bottles in the box is 24 + 6 = 30. In the box, there are a total of 30 + 24 = 54 bottles.. The answer is: 54.

Chloe and Max played Mario Kart together. The ratio of Chloe’s wins to Max’s wins is 8:3. Chloe won 24 times. How many times did Max win? Give the rationale and then the answer.
Let's think step by step. We are trying to figure out how many times Max won at Mario Kart, so we'll call that number Y. We know the ratio of Chloe’s wins to Max’s wins is 8 / 3, so 8 / 3 = 24 / Y. Next, we will multiply to find the cross - products. 8 x Y = 3 x 24 or 8Y = 72. We want to get figure out Y, so we need to get it by itself by dividing by 8, like this: 8Y / 8 = 72 / 8. Y = 9, so Max won 9 times.. The answer is: 9.

There are 120 crayons in a box. One third of the crayons are new, 20% are broken, and the rest are slightly used. How many are slightly used? Give the rationale and then the answer.
Let's think step by step. New:120 / 3 = 40 crayons. Broken:120(.20) = 24 crayons. Slightly Used:120 - 40 - 24 = 56 crayons.. The answer is: 56.