Question

A merchant mixed 10 lb of a cinnamon tea with 2 lb of spice tea. The 12-pound mixture cost $19. A second mixture included 16 lb of the cinnamon tea and 10 lb of the spice tea. The 26-pound mixture cost $44. Find the cost per pound of the cinnamon tea and of the spice tea.

Answer 1

Hey there!!

Take the cinnamon tea as ' x ' and spice tea as ' y '

10 x + 2y = 19 -------------- ( 1 )

16x + 10y = 44 --------------- ( 2 )

Multiply the first equation by 5

50x + 10y = 95

16x + 10y = 44

Subtract the second equation from the first

34x = 51

x = 51 / 34

x = $1.5

Substitute this in any other equation

15 + 2y = 19

2y = 4

y = 2

Cinnamon = $1.5

Spice tea = $2

Hope helps!