1. **State the problem:** We know 6 pears cost 3 dollars, and we want to find the cost of 16 pears using the scale factor.
2. **Set up the ratio:** The price per pear is constant, so the ratio of pears to price stays the same.
3. **Write the proportion:** $$\frac{6}{3} = \frac{16}{x}$$ where $x$ is the unknown price for 16 pears.
4. **Use the scale factor:** The scale factor to go from 6 pears to 16 pears is $$\frac{16}{6}$$.
5. **Multiply the known price by the scale factor:** $$x = 3 \times \frac{16}{6}$$
6. **Simplify the multiplication:**
$$x = 3 \times \frac{16}{6} = \cancel{3} \times \frac{16}{\cancel{6}} = 1 \times \frac{16}{2} = 8$$
7. **Answer:** The cost of 16 pears is **8 dollars**.
**Numbers in the blue boxes:**
- The first blue box (scale factor) is $$\frac{16}{6}$$
- The second blue box (multiplier for 3) is $$\frac{16}{6}$$
So the full expression is $$16/6 \times 3$$ to find the price for 16 pears.
Pear Cost 54B1Ca
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