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02:10:50
Question
The table shows the number of different kinds of entrées sold at the basketball concession stand on Tuesday night.
Entrées Sold on Tuesday
Kind of Entrée Number Sold
Chili dog 6
Frito pie 16
Hot dog 8
Nachos 10
If the basketball concession stand sells 120 entrées at the basketball concession stand on Friday night, which prediction for Friday is supported by the data in the table?
Responses
A The number of nachos sold will be half the number of Frito pies sold.The number of nachos sold will be half the number of Frito pies sold.
B At least 25 hot dogs will be sold.At least 25 hot dogs will be sold.
C The number of hot dogs sold will be 6 more than the number of chili dogs sold.The number of hot dogs sold will be 6 more than the number of chili dogs sold.
D The number of nachos sold will be 6 times the number of hot dogs sold.The number of nachos sold will be 6 times the number of hot dogs sold.
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To find the prediction supported by the data in the table, we need to consider the ratio of each kind of entrée sold.
According to the table, the ratio of chili dogs to hot dogs is 6:8 or 3:4.
Therefore, we can assume that the ratio of chili dogs to hot dogs sold on Friday night will also be 3:4.
If we assume that the number of hot dogs sold on Friday night is x, then the number of chili dogs sold would be (3/4)x.
To find the total number of entrées sold, we can add these two quantities together:
x + (3/4)x = 120
Multiplying through by 4 to eliminate the fraction:
4x + 3x = 480
7x = 480
x ≈ 68.6
Since the number of entrées sold must be a whole number, we can round x down to 68.
So, the prediction supported by the data in the table is that at least 68 hot dogs will be sold on Friday night.
Therefore, the correct option is B: At least 25 hot dogs will be sold.