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Solving Vehicle Registration Ratios with Tape Diagrams

This document provides a step-by-step guide on solving ratio problems using tape diagrams. It presents three examples involving vehicle registrations and hotel room occupancy. In the first example, the ratio of passenger cars to trucks is analyzed based on a total of 192 registered vehicles. The second example focuses on the ratio of non-commercial to commercial vehicles on the road, with additional conditions. The third example explores occupied and unoccupied rooms in a hotel, comparing ratios for Saturday and Sunday nights.

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Solving Vehicle Registration Ratios with Tape Diagrams

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  1. Solving Problems Using Ratios

  2. Example 1 • In August, a total of 192cars and were registered. The Department of Motor Vehicles (DMV) reported that for every 5 passenger cars registered, there were 7 trucks registered. Write down the important information from this paragraph.

  3. Questions: • Use a tape diagram to represent the ratio in the question. • In the tape diagram, how many boxes are there in total? • If there are a total of 192 cars, how much must each box in your tape diagram be worth? • How many of each were registered?

  4. Example 2 • Inthe month of September, for every 14 non-commercial vehicles on the road, there were 5 commercial vehicles. • If there were 81more non-commercial vehicles than commercial vehicles, how many of each type of vehicle would be expected? Solve using a tape diagram.

  5. Example 3 • On Sunday nights at The Best Ever Hotel, the ratio of the number of occupied rooms to the number of unoccupied rooms is 2:5. However, on Saturday nights the ratio is 6:1. If the hotel has 432 occupied rooms on Saturday night, how many unoccupied rooms does it have on Sunday night? Solve using a tape diagram.

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