Math Problem Statement

There is a subpopulation in Latvia that has 5,000 people. Each family of four in this subpopulation spends the amounts on each food group given in the table in total each month. What percentage of this subpopulation's total expenditure on rice (if summed up across all households) is spent on a single individual on average per month?

There is a subpopulation in Latvia that has 5,000 people. Each family of four in this subpopulation spends the amounts on each food group given in the table in total each month. What percentage of this subpopulation's total expenditure on rice (if summed up across all households) is spent on a single individual on average per month?

Solution

From the graph, let's identify the expenditure on rice for Latvia (the blue bar). Based on the provided image, the rice expenditure for Latvia appears to be around 150 Euros.

Step-by-step approach:

  1. Total expenditure on rice by subpopulation:

    • Number of people in subpopulation = 5,000.
    • Each family has 4 members, so there are 50004=1250\frac{5000}{4} = 1250 households.
    • Expenditure on rice per household per month = 150 Euros (from the graph).
    • Total expenditure on rice by all households = 1250×150=187,5001250 \times 150 = 187,500 Euros.
  2. Expenditure per individual:

    • Since the total population is 5,000 people, the total expenditure divided by the number of people gives the average spent per individual.
    • 187,500Euros5000people=37.5Euros per person\frac{187,500 \, \text{Euros}}{5000 \, \text{people}} = 37.5 \, \text{Euros per person}.
  3. Percentage of total expenditure per individual:

    • Total expenditure on rice = 187,500 Euros.
    • Average expenditure per person = 37.5 Euros.
    • Percentage =37.5187,500×1000.02%= \frac{37.5}{187,500} \times 100 \approx 0.02\%.

Thus, on average, each individual in this subpopulation spends approximately 0.02% of the total expenditure on rice.

Would you like any further clarification or details?


Related questions:

  1. How does the expenditure on other food groups compare to rice in Latvia?
  2. What is the total grocery expenditure for a family in Latvia per month?
  3. How does the average individual rice expenditure compare between Latvia and Slovakia?
  4. How would the percentage change if the population of Latvia increased?
  5. Can this expenditure be influenced by economic factors like inflation?

Tip: Visualizing data using bar charts, as shown, is helpful in identifying patterns and comparisons quickly.

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Percentages
Division

Formulas

Total expenditure = households * expenditure per household
Expenditure per individual = total expenditure / total population
Percentage = (expenditure per individual / total expenditure) * 100

Theorems

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Suitable Grade Level

Grades 6-8