Math Problem Statement

At first, the ratio of Weijie's savings to Lihua's savings was 5:4.

Solution

The initial ratio of Weijie's savings to Lihua's savings is given as 5:45:4. This means that for every 5 units of savings Weijie has, Lihua has 4 units.

Let:

  • Weijie's savings be 5x5x,
  • Lihua's savings be 4x4x.

Here, xx represents the common multiplier for both savings amounts. If we are provided with more information (like total savings or changes in savings), we can solve for xx and calculate their individual savings.

Would you like to provide additional details, or do you have specific questions about this scenario?

Relative Questions:

  1. If Weijie's savings increased by 20%, what would be the new ratio of their savings?
  2. If the total of their savings is $1800, how much does each person have?
  3. How would the ratio change if Lihua saved an additional $200?
  4. If Lihua doubles her savings, what will the new ratio between their savings be?
  5. What would happen if both Weijie and Lihua increased their savings by 50%?

Tip:

When working with ratios, it's often useful to express them in terms of a common variable (like xx) to simplify calculations.

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Math Problem Analysis

Mathematical Concepts

Ratios
Proportions
Basic Algebra

Formulas

Weijie's savings = 5x
Lihua's savings = 4x
Ratio = Weijie's savings / Lihua's savings = 5:4

Theorems

Ratio and Proportion Theorem

Suitable Grade Level

Grades 6-8