Math Problem Statement

Below are steps for solving each part of the scenario.

Match each step with the question that it will help you answer.

Your friend mixed 36 ounces of blue raspberry drink with 32 ounces of red cherry drink. How many ounces of blue raspberry drink should be added to make the mixture accurate?

Your mixture of 48 ounces of blue raspberry drink with 32 ounces of red cherry drink was the correct ratio! How many servings did you make?

Helpful Hint: Remember one serving is 20 ounces.

What could you do to fix the batch that does not match the recipe perfectly?

We know that 12 ounces of blue raspberry drink and 8 ounces of red cherry drink make one 20 ounce serving. How many servings would we need to make 100 ounces?

Helpful Hint: If 1 serving is 20 ounces, how many servings would make 100 ounces?

A. Add more of one of the ingredients to bring it to the right ratio to complete the mixture.

B. 4

C. 12

D. 5

Solution

To match the steps with the correct questions and answers:

  1. Your friend mixed 36 ounces of blue raspberry drink with 32 ounces of red cherry drink. How many ounces of blue raspberry drink should be added to make the mixture accurate?

    • Answer: C. 12
      The correct ratio is 12:8 (blue raspberry to red cherry), so the current mix is too high in blue raspberry. To adjust, you would need to add 12 ounces more.
  2. Your mixture of 48 ounces of blue raspberry drink with 32 ounces of red cherry drink was the correct ratio! How many servings did you make?

    • Answer: B. 4
      Each serving is 20 ounces, so 48 + 32 = 80 ounces; 80 ÷ 20 = 4 servings.
  3. What could you do to fix the batch that does not match the recipe perfectly?

    • Answer: A. Add more of one of the ingredients to bring it to the right ratio to complete the mixture.
      You can adjust the quantities of blue raspberry or red cherry to fix the mix and achieve the correct ratio.
  4. We know that 12 ounces of blue raspberry drink and 8 ounces of red cherry drink make one 20 ounce serving. How many servings would we need to make 100 ounces?

    • Answer: D. 5
      Each serving is 20 ounces, so 100 ÷ 20 = 5 servings.

Would you like more details or have any questions?

Here are 5 related questions to explore:

  1. What is the correct ratio for the blue raspberry to red cherry drink mix?
  2. How would you calculate the ratio if given different quantities?
  3. How can you scale this recipe to serve more than 100 ounces?
  4. If you accidentally added too much red cherry drink, how would you adjust the mixture?
  5. How can you calculate servings if the total volume is not a multiple of 20?

Tip: To easily adjust a mixture to the correct ratio, keep in mind the ratio of the ingredients and ensure each adjustment maintains that proportion.

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Math Problem Analysis

Mathematical Concepts

Ratios
Proportions
Basic Arithmetic

Formulas

Ratio formula: (part/total) = (part/total)
Serving size formula: Total volume ÷ Volume per serving

Theorems

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Suitable Grade Level

Grades 4-6