Ratios Day 3 Presentation Problems 1. At the Starr Theater, the ratio of regular seating to balcony seating is 4:1. If the occupancy of the regular seating is 420, how many seats are in Starr Theater? Regular Seats 105 105 105 105 = 420 = ? (525) Balcony Seats 105 4 units = 420 420 ÷ 4 = 105 1 unit = 105 5 units of 105 The Starr Theater has 525 seats. 5 • 105 = 525 Milk It! How many more regular seats are there than balcony seats? 2. The ratio of cars to trucks in the parking lot at Trantor Enterprises is 5:2. If there are 102 trucks, how many vehicles are in the parking lot? Cars 51 51 51 51 51 = ? (357) Trucks 51 51 = 102 2 units = 102 102 ÷ 2 = 51 1 unit = 51 7 units of 51 Trantor Enterprises has 357 vehicles in the parking lot. 7 • 51 = 357 Milk It! How many cars are in the parking lot? 3. Nadia and Keisha take a road trip where they take turns driving. The ratio of the number of miles that Nadia drives to the number of miles that Keisha drives is 4:3. If Nadia drives 112 miles, what was the length of the trip? 4 units = 112 Nadia’s Miles 28 28 28 28 = 112 = ? (196) Keisha’s Miles 28 28 112 ÷ 4 = 28 1 unit = 28 28 7 units of 28 7 • 28 = 196 The trip was 196 miles. Milk It! How many miles did Keisha drive? Ratios Day 3 Assessment Problems 1. The ratio of men to women in the bowling league at The Alley Cat is 6:5. If there were 84 men in the league, how many people are the in the bowling league at The Alley Cat? 6 units = 84 Men 14 14 14 14 14 14 = 84 = ? (154) Women 14 14 14 14 84 ÷ 6 = 14 1 unit = 14 14 11 units of 14 11 • 14 = 154 There were 154 people in the Alley Cat’s bowling league. 2. At Englebrecht’s Orchard, there are only apple trees and pear trees in one particular field. If the ratio of apple trees to pear trees was 7:3, and there were 203 apple trees, how many total trees were in that particular field? Apple Trees A Pear Trees 29 29 29 29 29 29 =29 84 = 203 = ? (290) 29 29 29 7 units = 203 203 ÷ 7 = 29 1 unit = 29 There were 290 trees in the field. 10 units of 29 10 • 29 = 290