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

a.) By what percentage is the grapefruit heavier than the apple?

b.) By what percentage is the apple lighter than the grapefruit?

Question

Mathematics

Chen

7 February, 23:55

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

a.) By what percentage is the grapefruit heavier than the apple?

b.) By what percentage is the apple lighter than the grapefruit?

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Answers (1)

Know the Answer?

Enzo Cabrera · Answer 1

Weight of an grapefruit=weight of an orange+8% weight of an orange

weight of an apple=weight of an orange - 10% weight of an orange

a. By what percentage is the grapefruit heavier than the apple?

We should find the connection between grapefruit and an apple. We know the connection between the weight of a grapefruit and an orange, we know the connection between an orange and an apple, so this means we know the connection between a grapefruit and an apple.

weight of an grapefruit=weight of an orange+8% weight of an orange

weight of an orange=weight of an apple + 10% weight of an apple

-> weight of an grapefruit=weight of an apple+10% weight of an apple + 8% (weight of an apple+10% weight of an apple) = weight of an apple + 18% weight of an apple + 2% weight of an apple = weight of an apple + 20% weight of an apple

b. By what percentage is the apple lighter than the grapefruit?

weight of an grapefruit=weight of an apple + 20% weight of an apple

-> The apple ts 20% lighter than the grapefruit.

A grapefruit is 8% heavier than an orange, and an apple is 10% lighter than the orange.a.) By what percentage is the grapefruit heavier than the apple?b.) By what percentage is the apple lighter than the grapefruit?

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

a.) By what percentage is the grapefruit heavier than the apple?

b.) By what percentage is the apple lighter than the grapefruit?