Problema Solution
A store mixes Kentucky bluegrass worth $11 per pound and ryegrass worth $14 per pound. The mixture is to sell for $13 per pound. Find how much of each should be used to make a 276-pound mixture.
Answer provided by our tutors
Let
b = lbs of the Kentucky bluegrass worth $11 per pound
r = lbs of the ryegrass worth $14 per pound
b + r = 276 lbs of the mixture that sells for $13 per pound
The total cost of Kentucky bluegrass + the total cost of ryegrass = the total cost of the mixture:
11b + 14r = 276*13
We have the following system of equations:
b + r = 276
11b + 14r = 276*13
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click here to see the system of equations solved for b and r
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b = 92 lbs
r = 184 lbs
92 lb of Kentucky bluegrass and 184 lb of ryegrass should be mixed.