Math Problem Statement

Nita is making a fruit drink. She mixes apple juice and mango juice in the ratio 3:1. How much of each type of juice will she need to make 1 litre of the fruit drink? Give your answer in mililitres

Solution

Nita mixes apple juice and mango juice in the ratio 3:1. This means for every 3 parts of apple juice, there is 1 part of mango juice. The total parts in the mixture are:

3+1=4 parts3 + 1 = 4 \text{ parts}

To make 1 litre of the fruit drink, which is equivalent to 1000 millilitres (ml), we need to divide this 1000 ml according to the ratio.

  • Apple juice (3 parts): 34×1000=750 ml\frac{3}{4} \times 1000 = 750 \text{ ml}

  • Mango juice (1 part): 14×1000=250 ml\frac{1}{4} \times 1000 = 250 \text{ ml}

So, to make 1 litre of the fruit drink, Nita will need:

  • 750 ml of apple juice
  • 250 ml of mango juice

Would you like further details or have any other questions?

Here are 5 related questions to consider:

  1. What if the total amount of juice was 2 litres? How much of each juice would be needed?
  2. How would the quantities change if the ratio was 2:1 instead of 3:1?
  3. Can you determine how much mango juice is needed if only 600 ml of the fruit drink is prepared?
  4. What would happen to the ratio if Nita wanted to use equal amounts of both juices?
  5. How would you calculate the percentage of apple juice in the final mixture?

Tip: Ratios are used to compare quantities and can easily be scaled up or down while maintaining the proportion.

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Math Problem Analysis

Mathematical Concepts

Ratios
Proportions

Formulas

Ratio of apple juice to total parts: (3/4) × total volume
Ratio of mango juice to total parts: (1/4) × total volume

Theorems

Ratio Theorem

Suitable Grade Level

Grades 6-8