Question

The conversion rates between kilograms and pounds are: 1 k g ≈ 2.2 l b s 1 l b ≈ 0.454 k g A. How many kilograms is a backpack that weighs 6 pounds? 2.724 B. How many pounds is a cat that weighs 11 kilograms?

Answer 1

`6\ lb = 2.724\ kg`

`11\ kg = 24.2\ lb`

Explanation:

Given

`1\ kg = 2.2\ lb`

`1\ lb = 0.454\ kg`

Required

- Convert 6 lb to kg

- Convert 11kg to lb

To solve for (a), we make use of the second conversion unit:

`1\ lb = 0.454\ kg`

Multiply both sides by 6

`6 * 1\ lb = 0.454\ kg * 6`

`6\ lb = 2.724\ kg`

Hence, a 6lb backpack weighs 2.724kg

Solving (b): 11 kg to lb

Here, we make use of the first conversion unit

`1\ kg = 2.2\ lb`

Multiply both sides by 11

`11 * 1\ kg = 2.2\ lb * 11`

`11\ kg = 24.2\ lb`

Hence, the cat weighs 24.2lb