https://file.aiquickdraw.com/mathbot/file/1729777358582ghc1lksp.jpg

Let's solve the problems from the image.

**(a) What is the ratio of all marbles in the bag to red marbles?**

- There are 8 red marbles and 3 blue marbles.
- Total marbles in the bag = 8 (red) + 3 (blue) = 11 marbles.
- The ratio of all marbles to red marbles is:
  \[
  \text{Ratio} = \frac{11}{8}
  \]
  Therefore, the ratio is **11:8**.

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**(b) What is the ratio of blue marbles to all marbles in the bag?**

- There are 3 blue marbles.
- The total number of marbles is 11.
- The ratio of blue marbles to all marbles is:
  \[
  \text{Ratio} = \frac{3}{11}
  \]
  Therefore, the ratio is **3:11**.

Would you like further details or have any other questions?

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Here are some follow-up questions you might consider:
1. What is the ratio of red marbles to blue marbles?
2. If 2 more blue marbles are added, what will be the new ratio of blue to total marbles?
3. What is the ratio of red marbles to the total number of marbles?
4. How would the ratios change if you removed 1 red marble?
5. What is the percentage of red marbles in the bag?

**Tip:** Ratios are simplified versions of fractions, so understanding fractions well helps a lot with ratio problems!

There are 8 red marbles and 3 blue marbles in a bag. (a) What is the ratio of all marbles in the bag to red marbles? (b) What is the ratio of blue marbles to all marbles in the bag?

Solve problems involving the ratio of red marbles to total marbles and blue marbles to total marbles in a bag. This exercise helps students in Grades 4-6 understand ratios and basic arithmetic.

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