Math Problem Statement

A cardboard box, which weighs 0.6 pound when empty, is filled with 15 bags of beans and a 4-pound bag of rice. The total weight of the box and the contents inside it is 25.6 pounds. What does the solution to the equation represent?

Solution

The image provides a problem where a cardboard box, which weighs 0.6 pounds when empty, is filled with 15 bags of beans and a 4-pound bag of rice. The total weight of the box with all its contents is 25.6 pounds. The question asks for the interpretation of the solution to the equation representing this situation.

The choices provided are:

  • The amount of rice
  • The amount of beans
  • The weight of the empty box
  • The total weight with everything in it

Solution:

Since the total weight is given as 25.6 pounds, the equation would likely represent how the weight is distributed among the different components (the box, the rice, and the beans). Solving the equation would reveal the amount of beans, because the weight of the box and the rice are already known.

The correct answer is:

  • The amount of beans

Would you like more details or have any questions?

Here are 5 related questions:

  1. How do we create equations to solve word problems involving weights?
  2. How can we represent multiple unknowns in an equation like this?
  3. If there were two different kinds of beans, how would the equation change?
  4. How would the equation look if you wanted to solve for the total number of items in the box?
  5. How would the equation change if the weight of the box itself were unknown?

Tip: When solving word problems, break them down into known and unknown parts to form an equation efficiently.

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Math Problem Analysis

Mathematical Concepts

Algebra
Equations
Word Problems

Formulas

Weight of contents = Total weight - Box weight - Rice weight

Theorems

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Suitable Grade Level

Grades 6-8