Question

Marnie is cleaning her sink with a powder cleaner that is mixed in a proportion of 1/2

cup per 1 gallon of water. If she only uses 1/2 gallon of water, how much powder should she mix in?

Answer 1

Marnie should mix 1/4 cup of powder cleaner with 1/2 gallon of water, based on the proportion of the original mixture which is 1/2 cup per gallon.

Step-by-step explanation:

The student's question asks how much powder cleaner Marnie should use if she is cleaning her sink with a mixture that requires 1/2 cup of powder per 1 gallon of water but she only uses 1/2 gallon of water.

First, we will set up a proportion to find the amount of powder needed for 1/2 gallon of water based on the original mixture ratio. Since 1/2 cup of powder is mixed with 1 gallon of water, the equivalent amount for 1/2 gallon of water would be:

1/2 cup powder per gallon : x cups powder per 1/2 gallon

Cross-multiplying gives us:

1 * x = 1/2 * 1/2

x = 1/4

So, Marnie should mix 1/4 cup of powder cleaner with 1/2 gallon of water.