# System of Equations Application Word Problem - A merchant mixed 10 lb of cinnamon tea with 5 lb of spice tea.

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A merchant mixed 10 lb of cinnamon tea with 5 lb of spice tea. The 15 pound mixture sells for $40. A second mixture includes 12 lb of cinn tea and 8 lbs of spice tea. The 20 lbs mixture sells for $54. Find the cost per lb of the cinn tea and the spice tea.

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#### Solution Preview

Let x represent the cost of the cinnamon tea

Let y represent the cost of the spice tea

The question states that 10 lbs of cinn tea plus 5 lbs of spice tea sells for a total of $40.

We write this as (using the square brackets to indicate units):

10 [lbs] * x [$/lb] + 5 [lbs] * y [$/lb] = 40 [$]

or:

...

#### Solution Summary

A word problem is solved using a system of equations. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.

$2.49