Question

By drying tea leaves you can get 4.2% of its weight as tea. What weight of fresh tea leaves do you need to get 46.2 lb of tea? Please add and explaination to it as well.

Answer 1

Answer: 1100 lb

Explanation:

Given : By drying tea leaves you can get 4.2% of its weight as tea.

Let x be the weight of leaves.

Then, the weight of leaves after drying them will be 4.2% of x.

= [To convert percentage to fraction or decimal we divide it by 100]

=

According to the question , we have equation :

Hence, we need 1100 lb of fresh leaves to get 46.2 lb of tea.

Answer 2

Amount of tea leaves required = 1100 lb

Explanation:

Given that:-

Tea leaves yields 4.2 % of the tea upon drying.

It means that if 100 lb of the tea leaves are taken, it will yield 4.2 lb of the tea.

To calculate:-

Amount of the tea leaves required which must yield 46.2 lb of tea.

Let the amount of tea leaves = x lb

So, Amount of tea produced =
`(4.2)/(100)* x` lb = 46.2 lb

Thus,

`(4.2)/(100)* x=46.2`

`4.2x=4620`

`x=1100`

Amount of tea leaves required = 1100 lb