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

A grapefruit is 8 heavier than an orange and an apple is 10 lighter than theorangeBy what percentage is the grapefruit heavier than the apple class=

Respuesta :

Answer:

Hence, the grapefruit is 20% heavier than the apple.

Step-by-step explanation:

Let the weight of orange be x.

This means that the weight of grapefruit is:

        1.08x

( Since grapefruit is: 8% heavier than orange )

Also, the weight of apple is 10% lighter than apple.

This means that the weight of apple is: 0.90 x

Hence, the percent change in the weight of grapefruit as compared to apple is calculated by:

             [tex]=\dfrac{1.08x-0.90x}{0.90x}\times 100\\\\\\=\dfrac{0.18x}{0.90x}\times 100\\\\\\=\dfrac{18}{90}\times 100\\\\\\=20\%[/tex]

RSM lol I searched up this question too haha