 # Ratios Proportions and Percents Team Challenge Chapter 6

• Slides: 49 Ratios, Proportions, and Percents Team Challenge Chapter 6 Review 1 Ratios, Proportions, and Percents Rules of the game – No calling out answers – You may discuss the problem with the other members on your team – Raise your hand when you have the answer – I will call on the 1 st person to raise their Chapter 6 Review hand 2 Ratios, Proportions, and Percents Scoring – Correct response +1 point – Incorrect response -1 point – Calling out answers -2 points – Challenge puzzles you may risk up to 5 points Chapter 6 Review 3 Ratios, Proportions, and Percents Let’s Get Started! Chapter 6 Review 4 Ratios, Proportions, and Percents This is a comparison of two quantities by division. Ratio Chapter 6 Review 5 Ratios, Proportions, and Percents Write the following ratio as a fraction in simplest form. 5 : 30 1/6 Chapter 6 Review 6 Ratios, Proportions, and Percents Write the following ratio as a fraction in simplest form. 98 homes in 100 have a TV. 49/50 Chapter 6 Review 7 Ratios, Proportions, and Percents A ratio that compares quantities in different units is a Rate Chapter 6 Review 8 Ratios, Proportions, and Percents A rate that has a denominator of 1 is a Unit rate Chapter 6 Review 9 Ratios, Proportions, and Percents Challenge Puzzle You may risk up to five points. If you complete the puzzle you earn what you have risked. If you do not complete the puzzle you lose what you have risked. Captains record your wager now. Chapter 6 Review 10 Ratios, Proportions, and Percents Write the following ratio as a unit rate. 150 miles in 3 hours 50 mph Chapter 6 Review 11 Ratios, Proportions, and Percents Find the unit rate. A six pack of soda costs \$2. 70. \$. 45 per soda Chapter 6 Review 12 Ratios, Proportions, and Percents A skydiver falls 144 feet in 3 seconds. How many feet does he fall in 1 second? 48 feet per second Chapter 6 Review 13 Ratios, Proportions, and Percents Convert 10 mph to feet per minute. 10 mi 1 hr * 5280 1 mile * 1 hr 60 min 880 ft minute Chapter 6 Review 14 Ratios, Proportions, and Percents An equality of two ratios is a proportion Chapter 6 Review 15 Ratios, Proportions, and Percents Solve for n 5 n = 6 42 n = 35 Chapter 6 Review 16 Ratios, Proportions, and Percents Challenge Puzzle Decide and record your risk amount. Chapter 6 Review 17 Ratios, Proportions, and Percents Do the following ratios form a proportion? 4 20 an 7 d 35 yes Chapter 6 Review 18 Ratios, Proportions, and Percents Write a proportion and solve. Three cans of soup cost \$3. 27. Find the cost of 12 cans. 3 12 = 3. 27 x x = \$13. 08 Chapter 6 Review 19 Ratios, Proportions, and Percents Your team scores 4 runs in the first three innings of a 9 -inning baseball game. If it continues at that rate, how many runs will it score in the game? 12 runs Chapter 6 Review 20 Ratios, Proportions, and Percents The triangles are similar. Solve for a. 1 a 3 9 a=3 Chapter 6 Review 21 Ratios, Proportions, and Percents A map of the United States has a scale of 1 inch : 250 miles. The cities of Jackson, Mississippi and Carson City, Nevada are 7 inches apart. How many miles is it from Jackson to Carson City? 1750 miles Chapter 6 Review 22 Ratios, Proportions, and Percents A model airplane is 1/48 of the airplane’s actual size. The length of the model airplanes wing is ¾ foot. How long is the airplane’s wing? 36 feet Chapter 6 Review 23 Ratios, Proportions, and Percents Challenge Puzzle Record your wager. Chapter 6 Review 24 Ratios, Proportions, and Percents What is the probability of rolling an even number when rolling two dice? 1/2 Chapter 6 Review 25 Ratios, Proportions, and Percents Suppose you select a letter at random from the word Arithmetic. What is the probability of selecting a t? A 1/5 Chapter 6 Review r i t hm e t i c 26 Ratios, Proportions, and Percents A bag contains 5 grape lollipops, 6 orange lollipops, 4 root beer lollipops and 5 cherry lollipops. What are the odds in favor of choosing a grape lollipop? 5 to 15 Chapter 6 Review 27 Ratios, Proportions, and Percents What is the probability of drawing a red ace from a standard deck of playing cards? 1/26 Chapter 6 Review 28 Ratios, Proportions, and Percents What is the complement of an event. All the outcomes not in the event. Chapter 6 Review 29 Ratios, Proportions, and Percents If P(green) = 4/27, what is the probability of not green? 23/27 Chapter 6 Review 30 Ratios, Proportions, and Percents Challenge Puzzle How much will you risk? Chapter 6 Review 31 Ratios, Proportions, and Percents A ratio that compares a number to 100 is a Percent Chapter 6 Review 32 Ratios, Proportions, and Percents Convert 1/5 to a percent. 20% Chapter 6 Review 33 Ratios, Proportions, and Percents Write 220% as a fraction or mixed number in simplest form. 2 1/5 Chapter 6 Review 34 Ratios, Proportions, and Percents Write 4. 4% as a decimal. . 044 Chapter 6 Review 35 Ratios, Proportions, and Percents 20% of x is 30. What is x? 150 Chapter 6 Review 36 Ratios, Proportions, and Percents Challenge Puzzle Record your bet. Chapter 6 Review 37 Ratios, Proportions, and Percents Write a proportion and solve. – A bicycle cost \$250 last year. The same bike costs \$200 this year. What percent of last year’s cost is this year’s cost? x 100 = 200 250 x = 80% Chapter 6 Review 38 Ratios, Proportions, and Percents Write an equation and solve. What is 85% of 62? n =. 85 * 62 n = 52. 7 Chapter 6 Review 39 Ratios, Proportions, and Percents Lydia has read 14 pages of her 22 -page reading assignment. To the nearest percent, what percent of the assignment has Lydia read? 64% Chapter 6 Review 40 Ratios, Proportions, and Percents Tom pole vaulted 8 foot yesterday. Today he vaulted 20% higher. How many feet did he vault today? 9. 6 feet Chapter 6 Review 41 Ratios, Proportions, and Percents The space Surveillance Center in Colorado tracks about 8500 objects in orbit around Earth. All but about 500 objects are junk from past space missions. What percent are junk? approximately 94 % Chapter 6 Review 42 Ratios, Proportions, and Percents Challenge Puzzle Will you lose or gain? Chapter 6 Review 43 Ratios, Proportions, and Percents A video game that regularly sells for \$40. 00 is on sale for 20% off. What is the sale price? \$32. 00 Chapter 6 Review 44 Ratios, Proportions, and Percents Seventy students voted for Jason, 25% voted for Amanda, and the other 40% voted for Melissa. How many students voted in the election? 200 Chapter 6 Review 45 Ratios, Proportions, and Percents The price of a computer was \$1099 last year, this year the same computer costs \$999. Find the percent change in price. Round to the nearest tenth of a percent. 9. 1% Chapter 6 Review 46 Ratios, Proportions, and Percents In the United States in the 20 th century, average life expectancy increased from about 47 years to about 77 years. Find the percent of increase to the nearest percent. 64% Chapter 6 Review 47 Ratios, Proportions, and Percents A rectangle is 55 inches wide and 34 inches long. Is it a golden rectangle? Why or why not. Yes, 55/34 1. 618 Chapter 6 Review 48 Ratios, Proportions, and Percents Challenge Puzzle The final challenge. What are you willing to risk? Chapter 6 Review 49