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Gina is weighing her lawn ornaments. Her flamingo weighs 4.168 pounds, and her garden gnome weighs 1.963 kilograms. There are 2.20462 pounds in a kilogram. Which ornament is heavier, and by what percent?
a.
The flamingo is 112.33% heavier than the gnome.
b.
The flamingo is 89.06% heavier than the gnome.
c.
The gnome is 45.36% heavier than the flamingo.
d.
The gnome is 3.84% heavier than the flamingo.

Respuesta :

JcAlmighty
The answer is d.
The gnome is 3.84% heavier than the flamingo.

Flamingo weight:
w1 = 4.168 pounds

Garden gnome weight:
w2 = 1.963 kilograms.
There are 2.20462 pounds in a kilogram:
1 kilogram = 2.20462 pounds
1.963 kilograms = ? pounds
Make a proportion:
1 kilogram : 2.20462 pounds = 1.963 kilograms : x
x = 2.20462 pounds *  1.963 kilograms : 1 kilogram
x = 4.328 pounds

It is obvious that 4.328 pounds is bigger than 4.168 pounds, thus Garden gnome is heavier than flamingo. Now, calculate by what percent:
4.328 pounds are 100% and 4.168 pounds are x.
4.328 pounds : 100% = 4.168 pounds : x
x = 100% * 4.168 pounds : 4.328 pounds
x ≈ 96.16%

The difference between two weights is: 100% - 96.16% which is how much the gnome is heavier than the flamingo.

Answer:

D

Step-by-step explanation:

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