To maintain the same ratio between mixed nuts and raisins, we first need to identify the ratio from the first row. The ratio of mixed nuts to raisins is 4:3. This means for every 4 cups of mixed nuts, there are 3 cups of raisins.
Let's denote the amount of mixed nuts as \( M \) and the amount of raisins as \( R \). We know:
\[ \frac{M}{R} = \frac{4}{3} \]
Now we complete the table for the amounts given, including the total amount of snack mix:
First Row
- Amount of mixed nuts (cups): 4
- Amount of raisins (cups): 3
- Total amount of snack mix (cups): \( 4 + 3 = 7 \)
Second Row
Given \( M = 49 \) (mixed nuts): The ratio tells us
\[ R = \frac{3}{4} \times M = \frac{3}{4} \times 49 = 36.75 \]
- Amount of mixed nuts (cups): 49
- Amount of raisins (cups): 36.75
- Total amount of snack mix (cups): \( 49 + 36.75 = 85.75 \)
Completed Table
| Amount of mixed nuts (cups) | Amount of raisins (cups) | Total amount of snack mix (cups) | |------------------------------|---------------------------|-----------------------------------| | 4 | 3 | 7 | | 49 | 36.75 | 85.75 |
Thus, the final amounts and total in the table reflect the correct ratios and totals for the snack mix.