Question

A merchant mixed 15 Ib of a cinnamon tea with 10 Ib of spice tea. The 25-pound mixture sells for $65. A second mixture included 14 lb of the cinnamon tea and 16 lb of spice tea. The 30-pound mixture sells for $84. Find the cost per pound for the cinnamon and for the spice tea.

PLEASE EXPLAIN ANSER

Answer 1

$2.6 for 25 pound bag; $2.8 for 30 pound bag

Step-by-step explanation:

To figure out the cost per pound, you need to divide the cost by the total number of pounds. So, for the 25 pound bag, divide 65 by 25 to get $2.6. For the 30 pound bag, divide 84 by 30 to get 2.8.

Answer 2

Explanation:

12 x + 4 y = 42 .............1

16 x + 8 y = 64 .............2

Eliminate y

multiply (1)by -2

Multiply (2) by 1

-24 x -8 y = -84

16 x 8 y = 64

Add the two equations

-8 x = -20