What is the solution to the system x+3y+z=8 , 3x+2y-2z=5 , 4x-3t+kz=0
1 answer:
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Answer:
Raisins = 25 kg
Nuts = 15 kg
Step-by-step explanation:
Given that:
Kilograms of snack to be made = 40 kg
Price per kg would be $4.75kg.
Price of 40 kg would be = 4.75 * 40 = $190
Let,
x be the kilograms of raisins
y be the kilograms of nuts
According to given statement;
x+y=40 Eqn 1
4.00x+6.00y=190 Eqn 2
Multiplying Eqn 1 by 4
4(x+y=40)
4x+4y=160 Eqn 3
Subtracting Eqn 3 from Eqn 2
(4x+6y)-(4x+4y)=190-160
4x+6y-4x-4y=30
2y=30
Dividing both sides by 2
Putting y=15 in Eqn 1
x+15=40
x=40-15
x=25
Hence,
Raisins = 25 kg
Nuts = 15 kg
