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Mr Drew weighed the crops from each of his five apple trees. He worked out that the mean crop weight was 320 kg. The crops from four of his trees were 370 kg, 280 kg, 330 kg and 310 kg. What was the weight of the crop from the fifth tree?
A) 260 kg
B) 350 kg
C) 300 kg
D) 280 kg
To find the weight of the crop from the fifth tree, we can use the formula for the mean:
[
text{Mean} = frac{text{Total weight of all crops}}{text{Number of crops}}
]
Given that the mean crop weight is 320 kg and there are five trees, we can calculate the total weight of all crops:
[
text{Total weight} = text{Mean} times text{Number of crops} = 320 text{ kg} times 5 = 1600 text{ kg}
]
Next, we add the weights of the crops from the four trees:
[
370 text{ kg} + 280 text{ kg} + 330 text{ kg} + 310 text{ kg} = 1290 text{ kg}
]
Now, we can find the weight of the crop from the fifth tree by subtracting the total weight of the four trees from the total weight:
[
text{Weight of fifth tree} = text{Total weight} – text{Weight of four trees} = 1600 text{ kg} – 1290 text{ kg} = 310 text{ kg}
]
However, since 310 kg is not one of the answer options available (as I realize now), let’s look again at the calculations. It’s clear we made an error in our understanding of the context