.
This problem is to be solved mentally.
An attentive reader will notice momentarily from the condition, that the difference in costs $52 - $37 = $15
is exactly the cost of 16 lb - 10 lb = 6 lb of the cinnamon tea.
So the price of the cinnamon tea is = 2.50 dollars per pound.
Then the cost of 4 lb of the spice tea is 37 - 10*2.5 = 37 - 25 = 12 dollars;
hence, the price of the of the spice tea is 12/4 = 3 dollars per pound.
ANSWER. $2.50 per pound for the cinnamon tea and $3.00 per pound for the spice tea.
Solved.
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If you want to see many other similar solved problems, look into the lesson
- Solving mentally word problems on two equations in two unknowns
in this site.
Also, you have this free of charge online textbook in ALGEBRA-I in this site
- ALGEBRA-I - YOUR ONLINE TEXTBOOK.
The referred lesson is the part of this online textbook under the topic "Systems of two linear equations in two unknowns".
Save the link to this online textbook together with its description
Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson
to your archive and use it when it is needed.