An elephant weighs 12,000 pounds, which is 3/4 of the weight of a whale. A giraffe weighs 1/8 of the weight of the whale or 5/6 of the weight of 12 deer. How much do 10 deer weigh?

Respuesta :

Answer:

The weight of 10 deer is 2,000 pounds

Step-by-step explanation:

Let

x ----> the weight of  the elephant in pounds

y ----> the weight of  the whale in pounds

z ----> the weight of  the giraffe in pounds

w ----> the weight of  the deer in pounds

step 1

Find the weight of the whale

we know that

[tex]x=12,000\ lb[/tex]

[tex]x=\frac{3}{4}y[/tex] ----> equation A

substitute the value of x

[tex]12,000=\frac{3}{4}y\\\\y=12,000(4)/3\\\\y=16,000\ lb[/tex]

step 2

Find the weight of the giraffe

[tex]z=\frac{1}{8}y[/tex]

substitute the value of y

[tex]z=\frac{1}{8}(16,000)\\\\z=2,000\ lb[/tex]

step 3

Find the weight of 10 deer

[tex]z=\frac{5}{6}(12w)[/tex]

simplify

[tex]z=10w[/tex]

that means

The weight of the giraffe is equal to the weight of 10 deer

therefore

The weight of 10 deer is 2,000 pounds