Question

A snack mix is made of mixed nuts and raisins.
Complete the table below to show the amounts of each ingredient and the total amount of snack mix (in cups). The ratio between mixed nuts and raisins should remain the same for different amounts of snack mix.

Amount of mixed nuts (cups)
Amount of raisins (cups)
Total amount of snack mix (cups)
4
3
8
49

Answer 1

put it in a line please

Answer 2

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.