Subjects algebra

Missing Values 931F60

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **State the problem:** We have two rows of data representing ounces of Peanut Butter Ice Cream and Dark Chocolate Ice Cream. Some values are missing, and we need to find those missing values. 2. **Analyze the given data:** - Peanut Butter Ice Cream: 14, 18, 27, ?, 48 - Dark Chocolate Ice Cream: 42, 54, ?, 126, 144 3. **Look for a pattern or relationship:** We suspect a proportional relationship between the two rows because the values seem to increase together. 4. **Check ratios for known pairs:** - For the first pair: $$\frac{42}{14} = 3$$ - For the second pair: $$\frac{54}{18} = 3$$ - For the last pair: $$\frac{144}{48} = 3$$ - For the fourth pair: $$\frac{126}{?} = 3$$ 5. **Conclusion:** The ratio of Dark Chocolate Ice Cream to Peanut Butter Ice Cream is consistently 3. 6. **Find the missing Peanut Butter Ice Cream value (fourth position):** Given Dark Chocolate Ice Cream is 126, $$126 = 3 \times \text{Peanut Butter Ice Cream}$$ So, $$\text{Peanut Butter Ice Cream} = \frac{126}{3} = 42$$ 7. **Find the missing Dark Chocolate Ice Cream value (third position):** Given Peanut Butter Ice Cream is 27, $$\text{Dark Chocolate Ice Cream} = 3 \times 27 = 81$$ **Final table values:** - Peanut Butter Ice Cream: 14, 18, 27, 42, 48 - Dark Chocolate Ice Cream: 42, 54, 81, 126, 144