Question

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?

Answer 1

The weight of 10 deer is 2,000 pounds

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

`x=12,000\ lb`

`x=(3)/(4)y` ----> equation A

substitute the value of x

`12,000=(3)/(4)y\\\\y=12,000(4)/3\\\\y=16,000\ lb`

step 2

Find the weight of the giraffe

`z=(1)/(8)y`

substitute the value of y

`z=(1)/(8)(16,000)\\\\z=2,000\ lb`

step 3

Find the weight of 10 deer

`z=(5)/(6)(12w)`

simplify

`z=10w`

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