Subjects algebra

Pear Cost 54B1Ca

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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.