A pineapple is 7 times as heavy

Asked by maham237 @ in Mathematics viewed by 258 People

A pineapple is 7 times as heavy as an orange. The pineapple also weighs 870 grams more than the orange.
a. What is the total weight in grams for the pineapple and orange?
b. Express the total weight of the pineapple and orange in kilograms.

Answered by maham237 @


Let's say that the weight of the orange is x and the weight of the pineapple is y.
The weight of the pineapple is 7 times that of the orange, so
y = 7x.
Also, y = x + 870.
Therefore, 7x = x + 870.
If we take away x from both sides, we get 6x = 870
If we divide both sides by 6, we get x = 145.
Therefore, the weight of the orange is 145 g.
Also, 145 + 870 = 1015.
So the weight of the pineapple is 1015 g.

To convert grams into kilograms, they must be divided by 1000.
Therefore, the weight of the orange in kilograms is 145/1000 = 0.145 kg
And the weight of the pineapple is 1015/1000 = 1.015 kg.

Answers:
a. 145g for the orange and 1015g for the pineapple.
b. 0.145kg for the orange and 1.015kg for the pineapple.

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