if rye grass seed sells for 160 per pound and the blue grass

if rye grass seed sells for $1.60 per pound and the blue grass sells for $2.10 a pound, how many pounds of each must be mixed to create a 75 pound mixture that sells for $1.90 per pound

Solution

Let \'x\' be the quantity of rye grass in the mixtue of 75 pounds.

Therefore, quantity of blue grass = 75 - x

From the given data,

x(1.60) + (75 - x)(2.10) = 75(1.90)

=> 1.60x + 157.5 - 2.10x = 142.5

=> -0.5x = -15

=> x = 30

Therefore, 75 - x = 75 - 30 = 45

Hence, 30 pounds of rye is mixed with 45 pounds of blue grass.