Question: George collected 50 marbles in white, yellow, green, and red. Half of them are white, and 12 are yellow. There are 50% fewer green balls than yellow balls. How many marbles are red?
Answer: Half of the marbles are white, so there are 50 / 2 = 25 white marbles. Green marbles are only 50% as many as yellow marbles, so there are 50 / 100 * 12 = 6 green marbles. So currently we know that we have 25 + 12 + 6 = 43 marbles. The rest are red, so there are 50 - 43 = 7 red marbles. The answer is 7.

Question: 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?
Answer: 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.

Question: A retailer sells any shirt for the same price and any pair of pants for the same price, but the price of shirts and pants are not the same. Say you bought 2 shirts and 3 pairs of pants for $120 in total, then you realized you didn't need the extra pants. What's the price of 1 shirt at this place if when you returned all 3 pairs of pants you were refunded 25% of what you originally paid?
Answer: If I paid $120 and I was refunded 25% for all the 3 pants, then that means I received 25% * 120 = $30. This means the total price of the 2 shirts was 120 - 30 = 90. The price of one shirt is thus 90 / 2 = 45. The answer is 45.

Question: Calvin and Paislee played a pool game where points were awarded for winning a round. If Calvin had scored 500 points and Paislee 3/4 times as many points as Calvin, how many points was Paislee required to achieve to have a chance of tying the game?
Answer:
If Calvin had scored 500 points and Paislee 3 / 4 times as many points as Calvin, Paislee had scored 3 / 4 * 500 = 375 points. To have a chance of tying the game, Paislee had to score 500 - 375 = 125 points. The answer is 125.