Math Problem Statement

वर्तन A में दूध और पानी की 5:2 के अनुपात में मिलाया गया जबकि वर्तन B में 8:5 के अनुपात में मिलाया गया। इन दोनों वर्तनों के मिश्रण को किस अनुपात में मिलाया जाएगा ताकि नए मिश्रण में दूध और पानी 9:4 के अनुपात में हो?

Solution

The image contains a math problem written in Hindi, which deals with ratios. Let me transcribe and translate it:

Problem (Translated):

  1. Vessel A has a mixture of milk and water in the ratio of 5:2, and Vessel B has a mixture of milk and water in the ratio of 8:5. Both mixtures are combined. What will be the ratio of milk to water in the new mixture?

Solution approach:

To solve this, we need to:

  1. Assume equal quantities from both vessels are mixed.
  2. Calculate the individual quantities of milk and water in each vessel based on their ratios.
  3. Add the quantities of milk and water together.
  4. Find the new ratio of milk to water.

Let me know if you would like a detailed step-by-step solution or have any specific questions!

Here are five related questions to further explore:

  1. How do you calculate ratios when the amounts are different in both vessels?
  2. What is the importance of maintaining the same quantity when mixing ratios?
  3. How would the solution change if the quantities of mixtures in Vessel A and B were different?
  4. How do you convert a ratio into percentages of milk and water?
  5. How can you generalize this problem to any two mixtures with different ratios?

Tip: Always ensure that quantities from both sources are equal before adding the ratios, or adjust accordingly.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Ratios
Mixtures
Proportions

Formulas

Ratio of milk to water
Combined ratio calculation

Theorems

Proportion Theorem

Suitable Grade Level

Grades 8-10