Evaluating Function Barangay Tahimik has received a shipment of relief goods to distribute among its residents due to a recent calamity. The barangay officials have the following information:There are 250 households in Barangay Tahimik.The relief goods consist of:2,250 cans of sardines ,1,750 kg of rice, 1,250 liters of drinking water
Each relief package should contain an equal number of sardine cans, kilograms of rice, and liters of water.
 Every household should receive at least one complete package.What is the maximum number of complete relief packages that can be created using all available supplies?

To determine the maximum number of complete relief packages that Barangay Tahimik can create, we need to calculate how many packages can be made from each type of supply: sardines, rice, and water.

### Step 1: Calculate the number of packages possible for each type of supply.

- **Cans of Sardines**:  
  Total cans = 2,250  
  Each package contains 1 or more cans.  
  Thus, the number of packages = \(\frac{2250}{x}\)  
  where \( x \) is the number of cans per package.

- **Kilograms of Rice**:  
  Total rice = 1,750 kg  
  Each package contains 1 or more kilograms of rice.  
  Thus, the number of packages = \(\frac{1750}{x}\)  
  where \( x \) is the number of kg per package.

- **Liters of Drinking Water**:  
  Total water = 1,250 liters  
  Each package contains 1 or more liters of water.  
  Thus, the number of packages = \(\frac{1250}{x}\)  
  where \( x \) is the number of liters per package.

### Step 2: Determine the maximum number of complete packages.
The number of packages for each type of supply depends on \( x \), the number of items in each package. The maximum number of complete packages will be limited by the smallest value among the three calculated.

Let's calculate for \( x = 1 \):

1. **Sardines**: \( \frac{2250}{1} = 2250 \) packages
2. **Rice**: \( \frac{1750}{1} = 1750 \) packages
3. **Water**: \( \frac{1250}{1} = 1250 \) packages

Thus, the maximum number of complete relief packages is determined by the supply that runs out first, which is the **water** supply.

### Conclusion:
The maximum number of complete relief packages that can be created is **1,250**.

If each household is to receive at least one package, and there are 250 households, this quantity is sufficient.

Would you like more details or have any other questions? 

Here are 5 questions related to this problem:

1. How could we allocate any leftover supplies after making the maximum number of packages?
2. What strategies could Barangay Tahimik use if they had fewer supplies?
3. How would changes in the number of households affect the relief distribution?
4. How could we ensure fairness in distribution if the packages differ slightly in content?
5. How could Barangay Tahimik handle future distributions with variable supplies?

**Tip**: Always start by identifying the limiting factor in resource distribution problems—this is the resource that runs out first and limits the total output.

Discover how to maximize relief package distribution in Barangay Tahimik by optimizing supplies of sardines, rice, and water. Learn the mathematical approach to ensure each household receives at least one complete package. Suitable for Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation