1. **State the problem:** We have a table with some values for Nuts and Raisins, and we want to use equivalent ratios to complete the missing values. 2. **Understand equivalent ratios:** Equivalent ratios are two ratios that express the same relationship. If $\frac{a}{b} = \frac{c}{d}$, then $a:b$ and $c:d$ are equivalent ratios. 3. **Given values:** - Nuts: 80 and 40 - Raisins: 14 and 28 4. **Find the ratio for Nuts and Raisins where both values are known:** - For Nuts 80 and Raisins 14, the ratio is $\frac{80}{14}$. 5. **Use equivalent ratios to find the missing Raisins value corresponding to Nuts 40:** - Set up the proportion: $$\frac{80}{14} = \frac{40}{x}$$ 6. **Solve for $x$:** $$80 \times x = 14 \times 40$$ $$80x = 560$$ $$x = \frac{560}{80}$$ $$x = \cancel{\frac{560}{80}}{\frac{7}{1}} = 7$$ 7. **Interpretation:** The missing Raisins value corresponding to Nuts 40 is 7. 8. **Check the other given Raisins value 28:** - The ratio for Raisins 28 corresponds to Nuts value missing in the table, but since the problem only asks to complete the table using equivalent ratios, we focus on the above calculation. **Final answer:** The missing Raisins value corresponding to Nuts 40 is 7.