Question

Mrs. Cain’s coleslaw recipe calls for 1/3 cup of oil,1/2 cup of vinegar,and 1/4 cup of sugar

Answer 1

In order to determine if the given statements are true or false, use the appropriate calculations, as follow:

a) In this case, calculate the proportion between cups of oil and cups of vinegar:

`((1)/(3))/((1)/(2))=(2)/(3)`

The proportion is 3/2.

If now we have 1 1/2 cup of oil and 1 of vinegar, the proportion is:

`(1(1)/(2))/(1)=1(1)/(2)=(3)/(2)`

It is not the same proportion. Hence, the statement a is FALSE.

b) Determine the proportion between cups of sugar and cups of vinegar:

`((1)/(4))/((1)/(2))=(2)/(4)=(1)/(2)`

The proportion is 1/2.

Now for 2 cups of sugar and of vinegar the proportion is 2/1 = 2. This is not the required propoprtion. The statement is FALSE.

c) 2 cups of vinegar for each cup of sugar. The proportion is 1/2. This is the required proportion. Hence, the statement c is TRUE.

d) In this case, the proportion is:

`((2)/(3))/(1)=(2)/(3)`

Which is the required proportion (calculated in part a). Hence, the statement d is TRUE.