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?

Answer 1

Answer:1100

Explanation:

4.2% = 0.042 pounds/leaves

---

46.2/0.042 = 46200/42

= 1100 pounds of leaves

Answer 2

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.