Proportion & Ratio Problems(2)( Week 47 Evaluation) 1. A map has a scale of 1 cm = 100 km. If two cities are 400 km apart, what is the distance (in cm) on the map between the two cities? 2. The weight of a box is the same as 5 pounds plus the weight of of the box. How many pounds does the box weigh? 3. A broken clock loses 10 minutes every hour. If the broken clock and a normal clock are both set at 00:00, what time will the normal clock show when the broken clock reads 00:30 for the 1st time? Express your answer in the format of HH:MM. 4. There are 12 cars for sale. One half of the cars are red. One fourth of the cars are black. The rest are green. How many cars are green? 5. A model of a town is 26 inches across. The scale of the model is 3 inches for 402 yards. How many feet is the town across? 7. A model race car is 4.4 inches long. It is modeled after a real race car with a scale of 0.4 inch for 1 foot. How long is the real race car (in feet)? 8. Compare the value of following column A and B:| A | B | | 7 × 105 + 7 × 104 + 7 × 103 + 2 × 102 + 8 × 101 + 8 × 100 | 8 × 105 + 6 × 104 + 1 × 103 + 1 × 102 + 9 × 101 + 8 × 100 |
9. Jane is making drinks for a party by blending lemonade, orange, and apple juice in a ratio of 8:7:10. If she wants to make a total of 175 cups of the drink, how many cups of orange will be needed? 10. Emily beats Alice by 20 yards in a 200-yard walk. If they both walk at the same paces, how many yards behind would Alice be in a 300-yard race? |