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arsen [322]
3 years ago
6

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 sel

l at 75¢ per pound, how many pounds of 80 cent seed should he use?
Mathematics
1 answer:
Nikitich [7]3 years ago
7 0

Answer: 25 pounds.

Step-by-step explanation:

Let <em>x</em> represent the number of pounds of seeds that worth 80¢.

Let <em>y </em> 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.

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