The ratio for one batch of slime is .5 cup of glue to .25 cup of starch. If there are 16 cups in a gallon bottle of glue, how many cups starch would you need to use the entire gallon of glue?

To solve this problem, let's first define the relationship between the amounts of glue and starch:

### Step-by-Step Solution:
1. **Ratio of glue to starch**:  
   For each batch, the ratio of glue to starch is \( 0.5 \) cups of glue to \( 0.25 \) cups of starch.  
   This means for every 1 cup of glue, you need \( \frac{0.25}{0.5} = 0.5 \) cups of starch.

2. **Glue in one gallon**:  
   There are 16 cups of glue in one gallon, so you need to calculate the amount of starch required for 16 cups of glue.

3. **Starch required for 16 cups of glue**:  
   Since the ratio is 1 cup of glue to 0.5 cups of starch, for 16 cups of glue, you need:
   \[
   16 \times 0.5 = 8 \text{ cups of starch}.
   \]

### Final Answer:
You would need **8 cups of starch** to use the entire gallon of glue.

Would you like any further details or clarifications?

### Related Questions:
1. How would the amount of starch change if you only used half a gallon of glue?
2. What if the ratio of glue to starch were different, such as 0.5 to 0.3?
3. How many batches of slime can you make with a gallon of glue and 8 cups of starch?
4. If you had 12 cups of starch, how many gallons of glue could you use?
5. How would the answer change if a gallon bottle had 18 cups of glue instead of 16?

**Tip**: Always double-check unit conversions, especially when dealing with volumes like gallons, cups, and liters!

Solve a practical problem involving ratios and unit conversions. Learn how to calculate how many cups of starch are needed to match the ratio of glue to starch (0.5:0.25) for 16 cups of glue in one gallon. This problem is perfect for Grades 5-7 students exploring proportions and real-world applications.

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