Explore BrainMass

# 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.

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

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.

https://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