Answer :
To find out how many liters of dye are needed for 500,000 t-shirts when each shirt requires a deciliter of dye, follow these steps:
1. Understand the unit conversion:
- One deciliter is one-tenth of a liter. This means there are 10 deciliters in 1 liter.
2. Calculate the total amount of dye in deciliters:
- Since each t-shirt requires 1 deciliter of dye, for 500,000 t-shirts, the total dye required in deciliters is:
[tex]\( 500,000 \, \text{t-shirts} \times 1 \, \text{deciliter per t-shirt} = 500,000 \, \text{deciliters} \)[/tex].
3. Convert deciliters to liters:
- To convert the total amount from deciliters to liters, divide by the number of deciliters in a liter (which is 10):
[tex]\( \frac{500,000 \, \text{deciliters}}{10} = 50,000 \, \text{liters} \)[/tex].
Therefore, you need 50,000 liters of dye. The answer is option c) 50,000.
1. Understand the unit conversion:
- One deciliter is one-tenth of a liter. This means there are 10 deciliters in 1 liter.
2. Calculate the total amount of dye in deciliters:
- Since each t-shirt requires 1 deciliter of dye, for 500,000 t-shirts, the total dye required in deciliters is:
[tex]\( 500,000 \, \text{t-shirts} \times 1 \, \text{deciliter per t-shirt} = 500,000 \, \text{deciliters} \)[/tex].
3. Convert deciliters to liters:
- To convert the total amount from deciliters to liters, divide by the number of deciliters in a liter (which is 10):
[tex]\( \frac{500,000 \, \text{deciliters}}{10} = 50,000 \, \text{liters} \)[/tex].
Therefore, you need 50,000 liters of dye. The answer is option c) 50,000.
