# Math

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

By what percentage is the apple lighter than the grapefruit?

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1. g = 1.08 o -----> o = g/1.08

a = .9 o ---> o = a/.9

g/1.08 = a/.9
.9 g = 1.08a
a = (.9/1.08) g
a = .8333... g

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2. So the answer would be 83 1/3 %?

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3. no,

look at how "an apple is 10% lighter ..." became .9
so what percentage do I need to have .8333... ?

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4. 100 - 83.333... = 16.666...
Thanks so much

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6. I think the answer is 16 1/6

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7. The answer is 16 2/3

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8. it's 16 2/3

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9. It's 20%

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10. Heavier = 20%
Lighter = 16 2/3 %

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11. its 21

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12. Heavier = 20%
Lighter = 16 2/3 %

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13. yes

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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:

Hope this helps!

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16. 20%

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17. The correct answer is 16.666...%!

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18. Grapefruit=108
Orange=100
Apple=90

a) (108-90)/90*100 = 18/90*100=20%

b) (108-90)/108= 18/108*100=16 2/3%

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