High School

A salad dressing is made by mixing lemon juice and olive oil in the ratio 2:5 by volume. The cost of lemon juice is $13.50 per liter. The cost of olive oil is $18 per liter.

Work out the ratio of the cost of lemon juice in the salad dressing to the cost of olive oil in the salad dressing.

Give your ratio in the simplest form.

Answer :

Final answer:

The cost ratio of lemon juice to olive oil in the salad dressing, given their volumes and individual costs, is 3:10.

Explanation:

To determine the cost ratio of lemon juice to olive oil in the salad dressing, we must first find out how much each component contributes to the total cost. If the ratio of lemon juice to olive oil is 2:5, it means for every 2 litres of lemon juice, there are 5 litres of olive oil.

If lemon juice is $13.50 per litre, 2 litres would cost $27. Similarly, if olive oil is $18 per litre, 5 litres would cost $90. The cost ratio of lemon juice to olive oil would therefore be $27:$90. We can simplify the ratio by dividing both numbers by their Greatest Common Divisor (GCD), in this case, 9. This gives us the simplified ratio of 3:10. So, the cost of lemon juice in the salad dressing is to the cost of olive oil in the salad dressing as 3:10.

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Answer: $3 : $4 or 3 : 4

Step-by-step explanation: To find the ratio of the cost of lemon juice in salad dressing, you’ll have to replace $13.50 or 13.5 to (135/10), which doesn’t affect the solution. Next, simplify (135/10) to get 27/2. After, divide 27/2 by 18, which is the other part of the ratio. (27/2 ÷ 18) Your final answer or result should end up as 3/4 but since we’re dealing with fractions 3:4, which is the simplified form of $13.50 : $18.00.