Question

if 66 2/3% of a certain kind of ore is iron, how much pure iron can be made from 240kg of this ore? 12 metric tons?

Answer 1

`160 kg\,,8ton`

Explanation:

1) Firstly turning into an improper fraction. Multiplying the whole number by the denominator, then add it to the numerator,(66*3+2)/3 (over the denominator). Since it is a percentual number, we can simplify it.

`66\: (2)/(3)\%=(200)/(3)\%\Rightarrow (2)/(3)\\`

2) Then
`(2)/(3)` is the quantity of purity in this iron ore so:

`(2)/(3)*240=160`

160kg

3) 12 tons? Since 12 ton (12 000 kg) then:

`12 \,ton*(2)/(3)=8 \,ton`

8 ton (8000 kg)

Answer 2

160 kg and 8 metric tons

Explanation:

66 2/3%=2/3

(2/3)240 = 160 kg

(2/3)12 metric tons = 8 metric tons