A chef makes his special salad dressing using olive oil and lemon juice. He uses 5 tbsp of olive oil for every 3 tbsp of lemon juice. Determine if the statements below are true or false.

a. He could use 30 tbsp of olive oil and 18 tbsp of lemon juice to make the same salad dressing.

b. He could use 70 tbsp of olive oil and 42 tbsp of lemon juice to make the same salad dressing.

To determine whether the given amounts of olive oil and lemon juice can be used to make the same salad dressing, we can use the given ratio of olive oil to lemon juice, which is 5 tbsp to 3 tbsp.

For statement a, we have 30 tbsp of olive oil and 18 tbsp of lemon juice. We can compare this to the ratio by dividing both amounts by the smallest common denominator, which is 3. The result is 10 tbsp of olive oil to 6 tbsp of lemon juice. This does not match the given ratio, so statement a is false.

For statement b, we have 70 tbsp of olive oil and 42 tbsp of lemon juice. Again, we can compare this to the ratio by dividing both amounts by the smallest common denominator, which is 3. The result is 23.3 tbsp of olive oil to 14 tbsp of lemon juice. This does not match the given ratio, so statement b is also false.

Learn more about ratio and proportion in salad dressing ingredients here:

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