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?

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carlosego carlosego · Answer 1 · 2019-03-18T15:36:05+01:00

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:

[tex]\left \{ {{x+y=30} \atop {80x+50y=75*30}} \right.\\\\\left \{ {{x+y=30} \atop {80x+50y=2250}} \right.[/tex]

Apply the method of elimination:

- Multiply the first equation by -50

- Add both equations.

- Solve for x.

Then:

[tex]\left \{ {{-50x-50y=-1500} \atop {80x+50y=2250}} \right\\\\30x=750\\x=25[/tex]

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

blackbessie13 blackbessie13 · Answer 2 · 2022-01-24T18:39:39+01:00

Answer:

25

Step-by-step explanation:

the person above me is right, I just got it right on my schoolwork

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