Question

Express the first quantity as a percentage of the second

a) 35 minute 2 hour
b )650g.3 kg

Answer 1

see explanation

Explanation:

To express as a percentage, first express as a fraction and multiply by 100%

The quantities must be expressed in the same units.

(a)

2 hours = 2 × 60 = 120 minutes, thus

`(35)/(120)` × 100% ≈ 29.2% ( to 1 dec. place )

(b)

3 Kg = 3 × 1000 = 3000 g, thus

`(650)/(3000)` × 100% ≈ 21.7% ( to 1 dec. place )

Answer 2

a) 29% b) 22%

Explanation:

The quantities must be expressed in the same units.

a) compare 35 minutes to 2 hours. 2 hours is 2 x 60 = 120 minutes.

35/120 = .291667 = 29%

b) compare 650 grams to 3 kilograms. 3 kg = 3 x 1000 = 3000 g.

650/3000 = .21667 = 22%