so, x + y = 100

and y = 100-x

total cost of x pounds of l d and 100-x pounds of j b is

1.9x + 1.2y, and this must equal 148, so,

1.9x + 1.2y = 148

substitute y = 100 – x to give 1 equation with 1 unknown,

1.9x + 1.2[100 – x] = 148

1.9x + 120 – 1.2x = 148

0.7x = 28

0.1x = 4

x = 40, y = 100-40 = 60

Hence there are 40 pounds of lemon drops, and 60 pounds of jelly beans

Set up 2 equations:

1.2x + 1.9y = 148

x + y = 100

Solve for y:

1.2x + 1.9y = 148

-1.2x – 1.2y = -120

.7y = 28

y = 40

Plug y into one of the original equations:

x + 40 = 100

x = 60

Therefore: 60lbs. of jelly beans & 40 lbs. of lemon drops