Thread: Algebra word problem

i need help witht the following problem-

A merchant mixed 10 lb of cinnamon tea with 5 lb of spice tea. The 15-pound mixture cost


$40. A second mixture included 12 lb of the cinnamon tea and 8 lb of the spice tea. The 20-

pound mixture cost $54. Find the cost per pound of the cinnamon tea and of the spice tea.

thanks!

Originally Posted by GriceldaM

i need help witht the following problem-

A merchant mixed 10 lb of cinnamon tea with 5 lb of spice tea. The 15-pound mixture cost


$40. A second mixture included 12 lb of the cinnamon tea and 8 lb of the spice tea. The 20-

pound mixture cost $54. Find the cost per pound of the cinnamon tea and of the spice tea.

thanks!

Let cinnamon tea be x and spice tea be y@

10x + 5y = 40 which simplifies to 2x+y=8

12x + 8y = 54 which simplifies to 6+4y = 27

which can then be solved easily enough enough

woohoo! thanks so much!