Math

Arithmetic Medium 2

⏱ 10:00

600%
• To make a certain purple dye, red dye and blue dye are mixed in a ratio of 3:4. To make a certain orange dye, red dye and yellow dye are mixed in a ratio of 3:2. If equal amounts of the purple and orange dye are mixed, what fraction of the new mixture is red dye?
• A publishing company wants to increase the price of one of its books by 10%. Research shows that this increase in price would decrease sales of the book by only 5%. By what percent would this change increase the money received through sales of this book?
• In a certain shop, notebooks that normally sell for 59 cents each are on sale at 2 for 99 cents. How much can be saved by purchasing 10 of these notebooks at sale price?
• If t is 40 percent greater than p, and p is 40 percent less than 600, what is the value of t p?
• If the average (arithmetic mean) of 3, 7, 10, and x is 7, then what is the median of 3, 7, 10, and x?
• A total of 32 teams play in a single-elimination tournament. In the first round, every team plays one game against another team, and the losing teams are eliminated from the tournament. No game ends in a tie. Every winning team procedes to the next round, in which they play another winning team. This single-elimination procedure continues until only one team remains. If each game takes precisely 2 hours to play, what is the total length of games played in the tournament, in hours?
• A fruit salad is made from pineapples, pears, and peaches mixed in the ratio of 2 to 3 to 5, respectively, by weight. What fraction of the mixture by weight is pineapple?
• The distance from Appletown to Brickton is 6 miles and the distance from Brickton to Caper City is 9 miles. Which of the following could be the distance, in miles, from Appletown to Caper City?
• When 70,000 is written as 7.0 x 10n, what is the value of n ?
• A pizzeria offers one or more of the following toppings on its pizzas: pepperoni, mushrooms, meatballs. How many different combinations of one or more toppings are possible? (Assume that the order of the toppings does not matter)
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