There were five football games at a school. The number of hot dogs sold at the first four games is shown.
523 604 544 596
The mean number of hot dogs sold at all five games was 573.
How many hot dogs were sold at the fifth football game?
answers:
568
570
574
598
To find the number of hot dogs sold at the fifth football game, we can use the formula for the mean:
Mean = (Sum of all numbers) / (Number of numbers)
We know that the mean is 573, and the sum of the hot dogs sold at the first four games is 523 + 604 + 544 + 596 = 2267.
So, substituting these values into the formula, we have:
573 = 2267 + X / 5
573 * 5 = 2267 + X
2865 = 2267 + X
2865 - 2267 = X
598 = X
Therefore, 598 hot dogs were sold at the fifth football game.
The correct answer is 598.