Question

9. Miguel is mixing up a salad dressing. Regardless of the number of servings, the recipe requires that 5/8 of the finished dressing mix be olive oil, 1/4 vinegar, and the remainder an even mixture of salt, pepper and sugar. If Miguel accidentally doubles the vinegar and forgets the sugar altogether, what proportion of the botched dressing will be olive oil?

Answer 1

15/29

Step-by-step explanation:

Olive oil = 5/8

Vinegar = 1/4

Let us find a common multiple that would help us easily make computation

We know that 5/8 = 15/24

and that 1/4 = 6/24

That means the mixture requires olive oil to be 15 parts out of 24

and requires vinegar to be 6 parts out of 24.

This means that the composition of salt, pepper, and sugar would be:

1 - (15/24 + 6/24)

= 1 - (21/24) = 3/24

This means that each is approximately 1 part of the mixture.

Hence if Vinegar is doubled: we have 12 parts of 24, instead of 6 parts of 24

And sugar is omitted, that means Sugar = 0 part of 24 instead of 1 part of 24

Total parts become = 15 + 12 + 1 + 1+ 0 = 29

From this 29 parts, 15 parts are olive, hence the olive proportion becomes:

15 parts of 29 = 15/29