Compare Ratios Quick Check
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Question
The following tables show the amount of fat for a given number of crackers for two types of crackers. Which type of cracker has less fat per cracker?
Cracker A
Grams of Fat Number of Crackers
8 10
16 20
24 30
32 40
40 50
48 60
Cracker B
Grams of Fat Number of Crackers
6 12
12 24
18 36
24 48
30 60
36 72
(1 point)
Responses
Cracker A
Cracker A
More rows need to be added to the tables to be able to compare the crackers.
More rows need to be added to the tables to be able to compare the crackers.
The two types of crackers have the same amount of fat per cracker.
The two types of crackers have the same amount of fat per cracker.
Cracker B
Cracker B
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To compare the amount of fat per cracker for Cracker A and Cracker B, we can divide the grams of fat by the number of crackers for each table.
For Cracker A:
- 8 grams of fat / 10 crackers = 0.8 grams of fat per cracker
- 16 grams of fat / 20 crackers = 0.8 grams of fat per cracker
- 24 grams of fat / 30 crackers = 0.8 grams of fat per cracker
- 32 grams of fat / 40 crackers = 0.8 grams of fat per cracker
- 40 grams of fat / 50 crackers = 0.8 grams of fat per cracker
- 48 grams of fat / 60 crackers = 0.8 grams of fat per cracker
For Cracker B:
- 6 grams of fat / 12 crackers = 0.5 grams of fat per cracker
- 12 grams of fat / 24 crackers = 0.5 grams of fat per cracker
- 18 grams of fat / 36 crackers = 0.5 grams of fat per cracker
- 24 grams of fat / 48 crackers = 0.5 grams of fat per cracker
- 30 grams of fat / 60 crackers = 0.5 grams of fat per cracker
- 36 grams of fat / 72 crackers = 0.5 grams of fat per cracker
From the calculations, we can see that Cracker B has less fat per cracker compared to Cracker A.
To compare the amount of fat per cracker for Cracker A and Cracker B, we need to calculate the ratio of grams of fat to the number of crackers for each type of cracker.
Cracker A:
- For the first row, the ratio is 8 grams of fat divided by 10 crackers, which simplifies to 0.8 grams of fat per cracker.
- For the second row, the ratio is 16 grams of fat divided by 20 crackers, which simplifies to 0.8 grams of fat per cracker.
- Continuing this pattern, we find that the ratio is 0.8 grams of fat per cracker for all rows in Cracker A.
Cracker B:
- For the first row, the ratio is 6 grams of fat divided by 12 crackers, which simplifies to 0.5 grams of fat per cracker.
- For the second row, the ratio is 12 grams of fat divided by 24 crackers, which simplifies to 0.5 grams of fat per cracker.
- Continuing this pattern, we find that the ratio is 0.5 grams of fat per cracker for all rows in Cracker B.
Comparing the ratios, we can see that Cracker B has less fat per cracker than Cracker A.
To compare the amount of fat per cracker for Cracker A and Cracker B, we can calculate the ratio of grams of fat to the number of crackers for each type of cracker.
Let's calculate the ratios for both crackers:
For Cracker A:
- Grams of Fat: 8, Number of Crackers: 10
- Ratio: 8/10 = 0.8
For Cracker B:
- Grams of Fat: 6, Number of Crackers: 12
- Ratio: 6/12 = 0.5
Comparing the ratios, we can see that Cracker B has a lower ratio, which means it has less fat per cracker compared to Cracker A.
Therefore, the answer is: Cracker B has less fat per cracker.