Subjects algebra

Baubles Cost 1E5657

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1. **State the problem:** We want to find the cost of 24 stainless steel golden Christmas baubles if 6 baubles cost 29. 2. **Identify the formula:** This is a direct proportion problem. The cost is proportional to the number of baubles. We use the formula: $$\text{Cost for } n \text{ baubles} = \frac{\text{Cost for known baubles}}{\text{Number of known baubles}} \times n$$ 3. **Calculate the cost per bauble:** $$\text{Cost per bauble} = \frac{29}{6}$$ 4. **Calculate the cost for 24 baubles:** $$\text{Cost for 24} = \frac{29}{6} \times 24$$ 5. **Simplify the multiplication:** $$\frac{29}{6} \times 24 = 29 \times \frac{\cancel{24}}{\cancel{6}} \times 4 = 29 \times 4 = 116$$ 6. **Final answer:** You would pay **116** for 24 baubles.