There is a  mystery product. 27.90 dollars buys 400. how much is 100 of it?

To determine the cost of 100 units of the mystery product, we can use a straightforward proportion based on the information given.

Given:
- 27.90 dollars buys 400 units of the product.

First, let's find the cost of 1 unit of the product:

\[
\text{Cost of 1 unit} = \frac{27.90 \text{ dollars}}{400} = 0.06975 \text{ dollars per unit}
\]

Now, to find the cost of 100 units:

\[
\text{Cost of 100 units} = 0.06975 \times 100 = 6.975 \text{ dollars}
\]

So, 100 units of the mystery product would cost **6.975 dollars**.

Would you like more details or have any questions? Here are some related questions:

1. What would be the cost of 50 units of the mystery product?
2. How many units could you buy with 10 dollars?
3. If the price changes, how would you calculate the new cost for 100 units?
4. How would you calculate the cost for a different quantity, say 250 units?
5. What if there were a discount for buying in bulk—how would that affect the price calculation?

**Tip:** When working with proportions, it's helpful to set up a clear ratio to ensure accurate calculations.

Learn how to calculate the cost of 100 units of a mystery product priced at $27.90 for 400 units. Utilize proportional analysis to determine the unit cost and apply it to find the cost for 100 units. Suitable for grades 6-8.

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