Question

) Lucas and TC are creating a new chemical compound. The boys mix ¾ quarts of their trademark solution with 0.9 cups of slime. How much solution should be mixed with 12 cups of slime

Answer 1

To find out how much solution is necessary to mix with 12 cups of slime, we set up a proportion based on the original mixture of ¾ quarts (which is 3 cups) of solution to 0.9 cups of slime. By solving this proportion, we discover that 40 cups of solution are needed for 12 cups of slime.

Step-by-step explanation:

The student's question involves setting up a proportion to solve for the amount of a solution needed when mixed with a given amount of another substance (slime).

Lucas and TC originally mix ¾ quarts of their solution with 0.9 cups of slime.

We must determine how much solution is required to mix with 12 cups of slime.

First, we convert ¾ quarts to cups because there are 4 cups in a quart. ¾ quarts equals 3 cups (since ¾ x 4 = 3).

Then we set up a proportion where 3 cups of solution corresponds to 0.9 cups of slime, and we wish to find the volume of solution (x) that corresponds to 12 cups of slime:

¼ x 12 cups = x

Solving for x gives us x = 12 × (¼) = 12 × (3/0.9) = 40 cups of their solution.