Question

A seedman has seeds worth 50¢ per pound mixed with seeds worth 80¢ per pound. If he wishes to make a mixture of 30 pounds to sell at 75¢ per pound, how many pounds of 80 cent seed should he use?

Answer 1

Answer: 25 pounds.

Step-by-step explanation:

Let x represent the number of pounds of seeds that worth 80¢.

Let y represent the number of pounds of seeds that worth 50¢.

Based on the information given in the problem, you can set up the following system of equations:

$\left \{ {{x+y=30} \atop {80x+50y=75*30}} \right.\\\\\left \{ {{x+y=30} \atop {80x+50y=2250}} \right.$

Apply the method of elimination:

- Multiply the first equation by -50

- Add both equations.

- Solve for x.

Then:

$\left \{ {{-50x-50y=-1500} \atop {80x+50y=2250}} \right\\\\30x=750\\x=25$

Therefore, the answer is: 25 pounds of 80 cent seed should be use.