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:
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):
-
Mango juice (1 part):
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:
- What if the total amount of juice was 2 litres? How much of each juice would be needed?
- How would the quantities change if the ratio was 2:1 instead of 3:1?
- Can you determine how much mango juice is needed if only 600 ml of the fruit drink is prepared?
- What would happen to the ratio if Nita wanted to use equal amounts of both juices?
- 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