Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
![### DUI Arrest Statistics During 4th of July Weekend
During the 4th of July Weekend, state troopers arrested 390 drivers for DUI. Of those, 45% were under the influence of alcohol, 50% were suspected of using marijuana, and the rest were impaired by other drugs. Of those impaired by other drugs, about 87% involved prescription medication or over-the-counter medication rather than illegal drugs. (Round answers to the nearest number.)
#### Questions
1. **How many people were arrested for driving under the influence of alcohol?**
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2. **How many people were arrested for driving under the influence of marijuana?**
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3. **How many people were arrested for driving under the influence of other drugs?**
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4. **How many people were arrested for driving under the influence of prescription or over-the-counter medication?**
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5. **How many people were arrested for driving under the influence of illegal drugs?**
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#### Explanation of Data
This dataset outlines the breakdown of DUI (Driving Under the Influence) arrests made over a holiday weekend:
- **Alcohol**: 45% of 390 drivers
- **Marijuana**: 50% of 390 drivers
- **Other Drugs**: The remainder, beyond those under the influence of alcohol and marijuana
- **Prescription/Over-the-Counter Medication**: 87% of those impaired by other drugs
- **Illegal Drugs**: The remaining percentage of those impaired by other drugs
### Calculation Breakdown
1. **Alcohol**:
- Calculation: \( 0.45 \times 390 \)
2. **Marijuana**:
- Calculation: \( 0.50 \times 390 \)
3. **Other Drugs**:
- Calculation: \( 390 - (alcohol arrests + marijuana arrests) \)
4. **Prescription/Over-the-Counter Medication**:
- Calculation: \( 0.87 \times other drugs arrests \)
5. **Illegal Drugs**:
- Calculation: \( other drugs arrests - prescription/over-the-counter medication arrests \)
Each question requires completing these calculations to fill in the blanks provided. This exercise is aimed to test the understanding of percentages and basic arithmetic operations.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff5ede190-124d-4580-a2ef-b75915abe6b9%2F5c764044-203d-4019-ba9d-01d21095501f%2Fpv5kdn.jpeg&w=3840&q=75)
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