A merchant mixed 10lb of a cinnamon tea with 2lb of spice tea The 12-pound mixtu

Question

A merchant mixed 10lb of a cinnamon tea with 2lb of spice tea The 12-pound mixture cost $31 A second mixture included 16lb 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 A merchant mixed 10lb of a cinnamon tea with 2lb of spice tea The 12-pound mixture cost $31 A second mixture included 16lb 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

Explanation / Answer

Let the cost per pound of cinnamon tea be $ x and that of spice tea be $ y.

Then acc. to question,

10x + 2y = 31........(1)

and 16x + 4y = 52......(2)

Multiplying (1) by 2 , we get , 20x +4y = 62 ....(3)

Subtracing (2) from (3) , we get

4x = 10

=> x= 2.5

Put this value in equation one , we get

y = 3

Therefore, the cost per pound of cinnamon tea is $ 2.5 and that of spice tea is $3.

Please upvote. Thank you.

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