Question

Mark's ratio is 3 tablespoons sugar to 2 tablespoons milk. Sharri is using 4 tablespoons of sugar to 3 tablespoons of milk. Eve is using 9 tablespoons of sugar to 6 tablespoons of milk. Which girl's ratio is equivalent to Mark's?

Answer 1

Eve's ratio, when simplified from 9:6 to 3:2, is equivalent to Mark's ratio of 3 tablespoons sugar to 2 tablespoons milk; Sharri's ratio is not equivalent.

Step-by-step explanation:

When comparing ratios, the equivalence of ratios can be established by simplifying them to see if they have the same proportion between the numbers. Mark's ratio is 3 tablespoons of sugar to 2 tablespoons of milk. To find which ratio is equivalent to Mark's, we have to simplify the other given ratios.

Sharri's ratio is 4 tablespoons of sugar to 3 tablespoons of milk. Eve's ratio is 9 tablespoons of sugar to 6 tablespoons of milk. By simplifying Eve's ratio, we can divide both the numerator (sugar) and the denominator (milk) by 3, yielding the simplest form of 3:2. This ratio is identical to Mark's ratio of 3 tablespoons of sugar to 2 tablespoons of milk. Thus, Eve's ratio is equivalent to Mark's.

In comparison, Sharri's ratio cannot be simplified to 3:2 and is therefore not equivalent to Mark's.

Answer 2

Let's calculate for the tablespoons of sugar to tablespoons of milk ratio for Mark, Sharri and Eve.

Mark: 3/2 = 1.5
Sharri: 4/3 = 1.3
Eve: 9/6 = 1.5

From the solution, Eve has an equivalent ratio to that of Mark's.