High School

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A salad dressing is made by mixing oil and mayonnaise in the ratio 5:2.



Jack makes 700 ml of the salad dressing. How much oil does he use?

Answer :

To solve the problem, follow these steps:

1. The ratio of oil to mayonnaise is given as \(5:2\). This means there are \(5\) parts of oil and \(2\) parts of mayonnaise.

2. The total number of parts in the mixture is:
$$
5 + 2 = 7 \text{ parts}
$$

3. Since the total volume of the salad dressing is \(700\) ml, the volume of oil used is the fraction of oil parts times the total volume. The fraction for oil is:
$$
\frac{5}{7}
$$

4. Therefore, the volume of oil is calculated by:
$$
\text{Oil Volume} = \frac{5}{7} \times 700 \, \text{ml}
$$

5. Multiplying:
$$
\frac{5}{7} \times 700 = 500 \, \text{ml}
$$

Thus, Jack uses \(\boxed{500 \text{ ml}}\) of oil for the salad dressing.

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