High School

A salad dressing is made by mixing lemon juice and vinegar in the ratio [tex]$4:3$[/tex].

Vicky makes 700 ml of the salad dressing.

How much lemon juice does she use?

Answer :

To find out how much lemon juice Vicky uses in her salad dressing, we need to break down the ratio and calculate the portions based on the total quantity of dressing.

1. Understand the Ratio: The salad dressing is made with lemon juice and vinegar in a ratio of 4:3. This means for every 4 parts of lemon juice, there are 3 parts of vinegar.

2. Determine Total Parts in the Ratio: To find out how many parts make up the entire mixture, we add the parts of lemon juice and vinegar together:
[tex]\[
4 + 3 = 7 \text{ parts in total}
\][/tex]

3. Calculate the Amount of Lemon Juice: Since the total dressing amount is 700 ml, we allocate the parts in the ratio accordingly. The lemon juice takes up [tex]\( \frac{4}{7} \)[/tex] of the total parts. Therefore, to find out how much lemon juice is in the salad dressing, we calculate:
[tex]\[
\text{Amount of lemon juice} = \frac{4}{7} \times 700
\][/tex]

4. Perform the Multiplication: Carry out the multiplication step:
[tex]\[
= \frac{4}{7} \times 700 = 400 \text{ ml}
\][/tex]

So, Vicky uses 400 ml of lemon juice in her salad dressing.