In the jar, there are 7 blue marbles, 11 red marbles, and some yellow marbles. If the chance of randomly picking a yellow marble is 1/4, how many yellow marbles are there?
Let's think: Let y be the number of yellow marbles. There are 11 + 7 + y = 18 + y total marbles. y / (18 + y) = 1 / 4. 4y = 18 + y. 3y = 18. y = 6. There are 6 yellow marbles.. The answer is: 6.

Carl is hosting an open house for his new business. He knows 50 people will show up and hopes that another 40 people will randomly show up. He’s created 10 extravagant gift bags for the first 10 people who visit his shop. He’s made average gift bags for 20 people but needs to make enough for everyone who visits to have one. How many more bags does he need to make?
Let's think: He knows 50 people are showing up and he’s hoping 40 more people will drop in for a total of 50 + 40 = 90 people. He’s made 10 extravagant gift bags and 20 average bags for a total of 10 + 20 = 30 bags. He hopes 90 people will show up and has already made 30 bags so he needs to make 90 - 30 = 60 more gift bags.. The answer is: 60.

In 2021, Wayne is 37 years old. His brother Peter is 3 years older than him and their sister Julia is 2 years older than Peter. What year was Julia born in?
Let's think: Peter is 3 years older than Wayne who is 37 so Peter is 37 + 3 = 40 years old. Julia is 2 years older than Peter who is 40 so Julia is 2 + 40 = 42 years old. It's 2021 and Julia is 42 years old so she was born in 2021 - 42 = 1979.. The answer is: 1979.

Bill and Ted went into the forest to gather some wild mushrooms. Bill gathered 12 red mushrooms and 6 brown mushrooms. Ted gathered 14 green mushrooms and 6 blue mushrooms. If half of the blue mushrooms, two-thirds of the red mushrooms, and all of the brown mushrooms have white spots, how many white-spotted mushrooms did they gather?
Let's think:
Of the 12 red mushrooms, 2 / 3 had spots, for a total of (2 / 3) * 12 = 8 white - spotted mushrooms. Of the 6 brown mushrooms, 100% had spots, for a total of (100 / 100) * 6 = 6 white - spotted mushrooms. Of the 14 green mushrooms, 0% had white spots, for a total of 14 * 0 = 0 white - spotted mushrooms. And of the 6 blue mushrooms, half had spots, for a total of (1 / 2) * 6 = 3 white - spotted mushrooms. In total, they gathered 8 + 6 + 0 + 3 = 17 white - spotted mushrooms.. The answer is: 17.