Daniel mixed 6 tablespoons of chocolate syrup with 2 pints of milk to make chocolate milk. The tape diagram below shows the relationship between the tablespoons of chocolate syrup and pints of milk used in the chocolate milk.

Use the tape diagram to determine the correct ratio.
A.
For each pint of milk, there are 3 tablespoons of chocolate syrup.
B.
There are 3 tablespoons of chocolate syrup for every 2 pints of milk.
C.
For each tablespoon of chocolate syrup, there are 3 pints of milk.
D.
The ratio of the tablespoons of chocolate syrup to pints of milk is 1:3.

1 answer

To find the correct ratio based on the information given: Daniel mixed 6 tablespoons of chocolate syrup with 2 pints of milk.

To express the ratio of chocolate syrup to milk, we look at the amounts:

  • Chocolate syrup: 6 tablespoons
  • Milk: 2 pints

Now we can express the ratio of tablespoons of chocolate syrup to pints of milk:

\[ \text{Ratio} = \frac{\text{tablespoons of chocolate syrup}}{\text{pints of milk}} = \frac{6}{2} = 3:1 \]

This means that for every 1 pint of milk, there are 3 tablespoons of chocolate syrup, or alternatively, that there are 3 tablespoons for every 2 pints of milk.

Now we can analyze the answer choices:

A. For each pint of milk, there are 3 tablespoons of chocolate syrup. (This is correct. This represents the ratio of 3:1.) B. There are 3 tablespoons of chocolate syrup for every 2 pints of milk. (This is incorrect. It represents the inverse of the ratio; the actual ratio is 3:1, not 3:2.) C. For each tablespoon of chocolate syrup, there are 3 pints of milk. (This is incorrect. That would mean 6 tablespoons = 18 pints, which is not true.) D. The ratio of the tablespoons of chocolate syrup to pints of milk is 1:3. (This is incorrect. The correct ratio is 3:1.)

Therefore, the correct answer is:

A. For each pint of milk, there are 3 tablespoons of chocolate syrup.