# How many pounds of seed worth $1.05 per pound must be mixed with 30 pounds of seed worth$0.90 per pound in order to produce a mixture to sell for $1.00 per pound? ##### 1 Answer Oct 3, 2017 60 #### Explanation: Let x pounds of seed to be mixed. Worth of x pounds seed =$1.05 x.

Worth of 30 pounds of other seed = $0.90 x 30 =$27.00.

Now worth of mixture i.e. ( x + 30 ) pounds = $1.00 ( x + 30). Now as per question,$1.00( x + 30) = $1.05 x +$ 27.00

$\Rightarrow 1.00 x + 30 = 1.05 x + 27.00$

$\Rightarrow 1.00 x - 1.05 x = 27.00 - 30$

$\Rightarrow - 0.05 x = - 3.00$

$\Rightarrow x = - \frac{3.00}{-} 0.05 = 60$