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?

Question

asked Feb 20, 2018 177k views

2 Answers

Tim Stephenson · Answer 1 · 2018-02-25T02:50:58+0000

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.

=
(4.2)/(100)* x= 0.042x [To convert percentage to fraction or decimal we divide it by 100]

=
(42)/(1000)* x= 0.042x

According to the question , we have equation :

$0.042x= 46.2\\\\\Rightarriw\ x=(46.2)/(0.042)\\\\\Rightarrow\ x=(46200)/(42)=1100$

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