To show the relationship between the serving size and the number of pounds of meat needed for a lasagna recipe, a catering company uses the chart below.

Question

Lasagna
Serving size
Pounds of meat
20
2
40
6
80
8
120
12

The employee who created the chart made an error when computing the number of pounds of meat for one of the serving sizes. For which serving size is the ratio of size to pounds of meat different from the other ratios?
20
40
80
120

Answer 1

To find out which serving size has a different ratio of serving size to pounds of meat, we can calculate the ratio for each entry in the chart. The ratio is calculated by dividing the serving size by the pounds of meat.

Here are the calculations for each serving size:

1. For 20 servings: \[ \text{Ratio} = \frac{20}{2} = 10 \]

2. For 40 servings: \[ \text{Ratio} = \frac{40}{6} \approx 6.67 \]

3. For 80 servings: \[ \text{Ratio} = \frac{80}{8} = 10 \]

4. For 120 servings: \[ \text{Ratio} = \frac{120}{12} = 10 \]

From these calculations, we can observe the following ratios:

• For 20 servings: 10
• For 40 servings: approximately 6.67
• For 80 servings: 10
• For 120 servings: 10

The ratio for the serving size of 40 is different from the others. Thus, the employee made an error when computing the number of pounds of meat for 40 servings.