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Sagot :
Answer:
Number of pounds of cashews = x = 14.96 pounds
Number of pounds of Brazil nuts = y = 19.04 pounds
Step-by-step explanation:
Let us represent:
Number of pounds of cashews = x
Number of pounds of Brazil nuts = y
The nut shack sells cashews for $6.00 per pound and Brazil nuts for $5.00 per pound. How much of each type should be used to make a 34 pound mixture that sells for $5.44 per pound
Our system of equations is given as:
x + y = 34...... Equation 1
x = 34 - y
6x + 5y = 34 × 5.44
6x + 5y = 184.96.......Equation 2
Ww substitute : 34 - y for x in Equation 2
6(34 - y) + 5y = 184.96
204 - 6y + 5y = 184.96
Collect like terms
- 6y + 5y = 184.96 - 204
-y = -19.04
y = 19.04 pounds
Solving for x
x = 34 - y
x = 34 - 19.04
x = 14.96 pounds
Number of pounds of cashews = x = 14.96 pounds
Number of pounds of Brazil nuts = y = 19.04 pounds
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