Answer:1100
Step-by-step explanation:
4.2% = 0.042 pounds/leaves
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46.2/0.042 = 46200/42
= 1100 pounds of leaves
Answer: 1100 lb
Step-by-step 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.
= [tex]\dfrac{4.2}{100}\times x= 0.042x[/tex] [To convert percentage to fraction or decimal we divide it by 100]
= [tex]\dfrac{42}{1000}\times x= 0.042x[/tex]
According to the question , we have equation :
[tex]0.042x= 46.2\\\\\Rightarriw\ x=\dfrac{46.2}{0.042}\\\\\Rightarrow\ x=\dfrac{46200}{42}=1100[/tex]
Hence, we need 1100 lb of fresh leaves to get 46.2 lb of tea.
