System of Equations Application Word Problem - A merchant mixed 10 lb of cinnamon tea with 5 lb of spice tea.
Not what you're looking for? Search our solutions OR ask your own Custom question.
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.
© BrainMass Inc. brainmass.com March 4, 2021, 6:28 pm ad1c9bdddfhttps://brainmass.com/math/linear-algebra/system-equations-application-word-problem-46036
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