SOLUTION: A merchant mixed 10 lb of a cinnamon tea with 4 lb of spice tea. The 14-pound mixture cost $37. A second mixture included 16 lb of the cinnamon tea and 4 lb of the spice tea. The 2
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-> SOLUTION: A merchant mixed 10 lb of a cinnamon tea with 4 lb of spice tea. The 14-pound mixture cost $37. A second mixture included 16 lb of the cinnamon tea and 4 lb of the spice tea. The 2
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Question 1140809: A merchant mixed 10 lb of a cinnamon tea with 4 lb of spice tea. The 14-pound mixture cost $37. A second mixture included 16 lb of the cinnamon tea and 4 lb of the spice tea. The 20-pound mixture cost $52. Find the cost per pound of the cinnamon tea and of the spice tea Found 2 solutions by josgarithmetic, ikleyn:Answer by josgarithmetic(39618) (Show Source):
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.
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