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To make strawberry milk, you need 50 ml syrup for every 200 ml milk.

a) What is the ratio of syrup to milk?

b) How much milk and syrup do you need to make 1 litre of strawberry milk?


Sagot :

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.