Question
a cleaning powder is mixed with water at a ratio of 1/2 cup of cleaning powder per 1 gallon of water. how many cups of cleaning powder are required for a mix that uses 1/2 gallons of water?
1/8
1/4
1/2
1
1/8
1/4
1/2
1
Answers
GPT-4o mini
To find out how many cups of cleaning powder are required for a mix that uses 1/2 gallon of water, we can set up the problem based on the given ratio of 1/2 cup of cleaning powder per 1 gallon of water.
1. The ratio tells us that:
- For 1 gallon of water, we need 1/2 cup of cleaning powder.
2. Now, since we only have 1/2 gallon of water, we can calculate the amount of cleaning powder needed for this quantity of water:
- If 1 gallon requires 1/2 cup, then 1/2 gallon will require half of that amount.
\[
\text{Cleaning powder for } \frac{1}{2} \text{ gallon} = \frac{1}{2} \times \frac{1}{2} \text{ cup} = \frac{1}{4} \text{ cup}
\]
Therefore, the amount of cleaning powder required for 1/2 gallon of water is **1/4 cup**.
The answer is **1/4**.
1. The ratio tells us that:
- For 1 gallon of water, we need 1/2 cup of cleaning powder.
2. Now, since we only have 1/2 gallon of water, we can calculate the amount of cleaning powder needed for this quantity of water:
- If 1 gallon requires 1/2 cup, then 1/2 gallon will require half of that amount.
\[
\text{Cleaning powder for } \frac{1}{2} \text{ gallon} = \frac{1}{2} \times \frac{1}{2} \text{ cup} = \frac{1}{4} \text{ cup}
\]
Therefore, the amount of cleaning powder required for 1/2 gallon of water is **1/4 cup**.
The answer is **1/4**.