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Solving Problems Using Ratios
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Write down the important information from this paragraph.
Example 1 In August, a total of 192 cars and trucks were registered. The Department of Motor Vehicles (DMV) reported that for every 5 cars registered, there were 7 trucks registered. Write down the important information from this paragraph.
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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?
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Solve using a tape diagram.
Example 2 In the month of September, for every 14 non- commercial vehicles on the road, there were 5 commercial vehicles. If there were 81 more non-commercial vehicles than commercial vehicles, how many of each type of vehicle would be expected? Solve using a tape diagram.
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Solve using a tape diagram.
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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