A salad dressing is made by mixing lemon juice and oil in the ratio [tex]5:4[/tex].

Eleanor makes 900 ml of the salad dressing. How much lemon juice does she use?

Answer :

To determine how much lemon juice Eleanor uses, let's break down the problem step-by-step:

1. Understand the Ratio: The salad dressing is made by combining lemon juice and oil in a ratio of 5:4. This means that for every 5 parts of lemon juice, there are 4 parts of oil.

2. Calculate Total Parts: To find the total number of parts in the mixture, add the parts of lemon juice and the parts of oil together:
[tex]\[
\text{Total parts} = 5 + 4 = 9
\][/tex]

3. Find the Amount of Lemon Juice: Eleanor makes 900 ml of salad dressing in total. To find out how much of this is lemon juice, we need to find out what fraction of the total mixture is lemon juice. Since the lemon juice part is 5 out of the total 9 parts, the fraction of the mixture that is lemon juice is:
[tex]\[
\frac{5}{9}
\][/tex]

4. Calculate Lemon Juice in Milliliters:
[tex]\[
\text{Lemon juice (ml)} = \left(\frac{5}{9}\right) \times 900 \, \text{ml}
\][/tex]

5. Perform the Calculation: When you multiply these values, you get:
[tex]\[
\text{Lemon juice (ml)} = 500 \, \text{ml}
\][/tex]

Therefore, Eleanor uses 500 ml of lemon juice in her salad dressing.