Math Problem Statement

Elena has 1 liter of chocolate milk. The milk is poured into glasses, each holding 2/5 liters. How many glasses will be full, and how many will be partially filled?

Solution

The problem in the image asks about the distribution of 1 liter of chocolate milk into glasses, each with a capacity of 25\frac{2}{5} liters.

Problem Breakdown:

  • Elena has 1 liter of chocolate milk.
  • The milk is poured into glasses, each holding 25\frac{2}{5} liters.
  • The question is to determine how many full or partially full glasses Elena can fill.

Solution:

  1. To determine how many glasses can be filled, we divide the total amount of chocolate milk (1 liter) by the capacity of one glass 25\frac{2}{5} liters:

125=1×52=52=2.5\frac{1}{\frac{2}{5}} = 1 \times \frac{5}{2} = \frac{5}{2} = 2.5

  1. This means Elena can fill 2 full glasses and half of a third glass.

Now, let's analyze the options:

  • a. Elena cukup menyediakan dua gelas (Elena only needs to prepare two glasses): Incorrect, since we need more than two glasses.
  • b. tiga gelas terisi penuh (Three glasses are fully filled): Incorrect, since she can only fill two glasses completely.
  • c. tiga gelas terisi penuh dan satu gelas terisi separuh (Three glasses fully filled and one half-full): Incorrect, because only 2 full and one half glass can be filled.
  • d. dua gelas terisi penuh dan satu gelas terisi separuh (Two glasses fully filled and one half-full glass): Correct, as this matches the calculation.

Thus, the correct answer is d.

Would you like further details, or do you have any other questions?

Here are 5 related questions:

  1. How do you calculate how many glasses can be filled if the glass size is different?
  2. What would happen if the total amount of chocolate milk was 1.5 liters?
  3. Can you express 2.5 glasses in terms of percentage fullness?
  4. How do you convert between fractions and decimals in problems like this?
  5. What would the situation be if each glass could hold 1 liter?

Tip: When dividing fractions, remember to multiply by the reciprocal of the divisor.

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Math Problem Analysis

Mathematical Concepts

Fractions
Division
Measurement

Formulas

Number of glasses = Total amount of milk ÷ Capacity of one glass
Reciprocal multiplication for dividing fractions: a ÷ b/c = a × c/b

Theorems

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Suitable Grade Level

Grades 5-7