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bulgar
7 days ago
15

A grapefruit is 8% heavier than an orange, and an apple is 10% lighter than the orange.

Mathematics
2 answers:
lawyer [9.2K]7 days ago
8 0
The weight of a grapefruit equals the weight of an orange plus 8% of the weight of an orange
The weight of an apple equals the weight of an orange minus 10% of the weight of an orange

a.<span>What percentage heavier is the grapefruit compared to the apple?
To determine this, we should establish the relationship between the grapefruit and the apple. Knowing the grapefruit’s relation to an orange and the orange’s relation to an apple indicates the connection between a grapefruit and an apple.
</span>
The weight of a grapefruit = the weight of an orange + 8% of the weight of an orange<span>The weight of an orange = the weight of an apple <span> + 10% of the weight of an apple
</span>
-> The weight of a grapefruit = the weight of an apple + 10% of the weight of an apple + 8%(weight of an apple + 10% of the weight of an apple) = weight of an apple + 18% of the weight of an apple + 2% of the weight of an apple = <span>weight of an apple + 20% of the weight of an apple 

</span><span>b. By what percentage is the apple lighter than the grapefruit?
</span>The weight of a grapefruit = the weight of an apple + 20% of the weight of an apple<span> 
</span>
-> The apple is 20% lighter than the grapefruit. </span>
zzz [9K]7 days ago
3 0

Response:

A. 20%

B. 16 2/3%

Detailed explanation:

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