Let's solve this step-by-step:
### Part a: Ratio of Syrup to Milk
First, we need to determine the ratio of syrup to milk.
Given:
- 50 ml of syrup is needed for every 200 ml of milk.
We can write this as a ratio:
[tex]\[ \text{Ratio of syrup to milk} = \frac{\text{amount of syrup}}{\text{amount of milk}} \][/tex]
Substitute the given values:
[tex]\[ \text{Ratio of syrup to milk} = \frac{50 \text{ ml}}{200 \text{ ml}} \][/tex]
To simplify this ratio:
[tex]\[ \text{Ratio of syrup to milk} = \frac{50}{200} = 0.25 \][/tex]
So, the ratio of syrup to milk is [tex]\( 0.25 \)[/tex].
### Part b: Calculating Milk and Syrup for 1 Litre of Strawberry Milk
Next, we need to calculate how much milk and syrup are required to make 1 litre (1000 ml) of strawberry milk.
We already know:
- For every 200 ml of milk, 50 ml of syrup is needed.
We aim to make 1000 ml of strawberry milk.
1 litre (L) = 1000 ml.
Since 200 ml of milk requires 50 ml of syrup, we need to calculate the number of 200 ml portions within 1 litre:
[tex]\[ \text{Number of 200 ml portions} = \frac{1000 \text{ ml}}{200 \text{ ml/portion}} = 5 \][/tex]
Now, we calculate the total amount of syrup needed for 5 portions:
[tex]\[ \text{Total syrup needed} = 5 \times 50 \text{ ml} = 250 \text{ ml} \][/tex]
Thus, to make 1 litre of strawberry milk, you will need:
- 1000 ml of milk (which is 1 litre).
- 250 ml of syrup.
So, the answers are:
a) The ratio of syrup to milk is [tex]\( 0.25 \)[/tex].
b) To make 1 litre of strawberry milk, you need 1000 ml of milk and 250 ml of syrup.
