Questions: If the mix ratio for a certain chemical is 1:4 when it is mixed with water (chemical:water), how many gallons of water would be mixed with 1/2 half gallon of chemical?

If the mix ratio for a certain chemical is 1:4 when it is mixed with water (chemical:water), how many gallons of water would be mixed with 1/2 half gallon of chemical?
Transcript text: If the mix ration for a certain chemical is 1:4 when it is mixed with water (chemical:water), how many gallons of water would be mixed with $\frac{1}{2}$ half gallon of chemical?
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Solution

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Solution Steps

Step 1: Understand the Mix Ratio

The given mix ratio is 1:4 (chemical:water). This means for every 1 part of chemical, there are 4 parts of water.

Step 2: Determine the Amount of Chemical

We are given \(\frac{1}{2}\) gallon of chemical.

Step 3: Calculate the Amount of Water

Using the ratio 1:4, if we have \(\frac{1}{2}\) gallon of chemical, we need 4 times that amount in water: \[ \text{Amount of water} = 4 \times \frac{1}{2} = 2 \text{ gallons} \]

Final Answer

\(\boxed{2 \text{ gallons}}\)

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