Question

A store is having a sale on walnuts and chocolate chips . For 3 pounds of walnuts and 2 pounds chocolate Chips,the cost is $12. For 5 pounds of walnuts and 6 pounds of chocolate chips the total cost is $30. Find the cost for each pound of walnuts and each pound of chocolate chips

Answer 1

Answer:

Cost of one pound of walnuts = x = $1.5

Cost of one pound of Chocolate chip = y =$3.75

Step-by-step explanation:

Let:

Cost of one pound of walnuts = x

Cost of one pound of Chocolate chip = y

Now making equations from the statements.

For 3 pounds of walnuts and 2 pounds chocolate Chips,the cost is $12: $3x+2y=12$

For 5 pounds of walnuts and 6 pounds of chocolate chips the total cost is $30: $5x+6y=30$

We need to solve these equations to find values of x and y

Let:

$3x+2y=12--eq(1)\\5x+6y=30--eq(2)$

Multiply eq(1) by 3 and subtract both equations

$9x+6y=36\\5x+6y=30\\- \ \ \ - \ \ \ \ -\\-------\\4x=6\\x=\frac{6}{4}\\x=1.5$

Now, finding value of y bu putting value of x, x= 1.5 in eq(1)

$3x+2y=12\\3(1.5)+2y=12\\4.5+2y=12\\2y=12-4.5\\2y=7.5\\y=\frac{7.5}{2}\\y=3.75$

So, we get value of y: y=3.75

Cost of one pound of walnuts = x = $1.5

Cost of one pound of Chocolate chip = y =$3.75