Answer:
The cost of each pound of walnuts is $1.25 and each pound of chocolate chips is $2.50
Step-by-step explanation:
Let,
x be the price per pound of walnuts
y be the price per pound of chocolate chips
According to given statement,
4x+8y=25 Eqn 1
2x+3y=10 Eqn 2
Multiplying Eqn 2 by 2
2(2x+3y=10)
4x+6y=20 Eqn 3
Subtracting Eqn 3 from Eqn 1
(4x+8y)-(4x+6y)=25-20
4x+8y-4x-6y=5
2y=5
Dividing both sides by 2
[tex]\frac{2y}{2}=\frac{5}{2}\\y=2.50[/tex]
Putting y=2.50 in Eqn 2
2x+3(2.50)=10
2x+7.50=10
2x=10-7.50
2x=2.50
Dividing both sides by 2
[tex]\frac{2x}{2}=\frac{2.50}{2}\\x=1.25[/tex]
Hence,
The cost of each pound of walnuts is $1.25 and each pound of chocolate chips is $2.50
