Question

Super Salad Dressing is made with 8\text{ mL}8 mL of oil for every 3\text{ mL}3 mL of vinegar. Which of the following mixtures will taste the same as Super Salad Dressing? Choose 3 answers: Choose 3 answers: (Choice A) A 80\text{ mL}80 mL of oil with 30\text { mL}30 mL of vinegar (Choice B) B 3\text{ mL}3 mL of oil with 8\text { mL}8 mL of vinegar (Choice C) C 56\text{ mL}56 mL of oil with 21\text { mL}21 mL of vinegar (Choice D) D 40\text{ mL}40 mL of oil with 25\text { mL}25 mL of vinegar (Choice E) E 48\text{ mL}48 mL of oil with 18\text { mL}18 mL of vinegar

Answer 1

Answer:

The following mixtures will taste the same as Super Salad Dressing:

Choice A, Choice C and Choice E.

Step-by-step explanation:

It is given that:

Super Salad Dressing is made with 8 mL of oil for every 3 mL of vinegar.

i.e. proportion of oil to vinegar is:

$\dfrac{8}{3}--------------(1)$

A)

80 mL of oil with 30 mL of vinegar.

i.e. proportion of oil to vinegar is:

$\dfrac{80}{30}$ which is equal to:

$\dfrac{8}{3}$

Hence, the proportion is same.

Hence, option (A) is correct.

B)

3 mL of oil with 8 mL of vinegar.

i.e. proportion of oil to vinegar is:

$\dfrac{3}{8}$

which is not same as equation (1)

Hence, option (B) is incorrect.

C)

56 mL of oil with 21 mL of vinegar.

i.e. proportion of oil to vinegar is:

$\dfrac{56}{21}$

which could also be written as:

$\dfrac{8}{3}$ (since on dividing numerator and denominator by 7)

Hence the expression is same as in (1).

Hence, option (C) is correct.

D)

40 mL of oil with 25 mL of vinegar .

i.e. proportion of oil to vinegar is:

$\dfrac{40}{25}$

which could also be written as:

$\dfrac{8}{5}$ (since on dividing the numerator and numerator by 5)

this expression is not similar as in equation (1).

Hence, option D) is incorrect.

E)

48 mL of oil with 18 mL of vinegar.

The proportion of oil to vinegar is:

$\dfrac{48}{18}$

which could also be written as:

$\dfrac{8}{3}$ ( since on dividing numerator and denominator by 6).

This expression is same as in equation (1).

Hence option E) is correct.

The following mixtures will taste the same as Super Salad Dressing:

Choice A, choice C and choice E.

Answer 2

Answer: A) 80 ml of oil with 30 ml of vinegar

C) 56 ml of oil with 21 ml of vinegar

E)48 ml of oil with 18 ml of vinegar

Step-by-step explanation:

Since, Super Salad Dressing is made with 8 ml  of oil for every 3 ml of vinegar.

Hence, the ratio of oil and vinegar in the salad = 8 : 3

Let the quantity of the oil = 8 x and the quantity of vinegar = 3 x

Where x is any number,

For x = 10,

The the quantity of the oil = 80 ml and the quantity of vinegar = 30 ml

For x = 7,

The the quantity of the oil = 56 ml and the quantity of vinegar = 21 ml

For x = 6,

The the quantity of the oil = 48 ml and the quantity of vinegar = 18 ml

Hence, Option A, C and E are correct.