Question

You buy 7 bags of chips and 3 package of cookies for $17. Your best friend buys 3 bags of chips and 1 package of cookies for $7 how much does each bag of chips cost

Answer 1

By setting up a system of linear equations and using the elimination method, we find that the cost of each bag of chips is $2.

Step-by-step explanation:

The student's question involves solving a system of linear equations to determine the cost of each bag of chips and each package of cookies. We can set up two equations based on the information given: one representing the student's purchase and one for the best friend's purchase. Let ‘c’ be the cost of a bag of chips and ‘d’ be the cost of a package of cookies.

Equation 1: 7c + 3d = $17 (the student's purchase)

Equation 2: 3c + 1d = $7 (the best friend's purchase)

To find the cost of a bag of chips, we can solve this system using either substitution or elimination method. In this case, the elimination method can be applied effectively.

Multiplying the second equation by 3 gives us a new equation:

Equation 3: 9c + 3d = $21

Now subtracting Equation 1 from Equation 3, we get:

2c = $4

Dividing both sides of the equation by 2, we find that:

c = $2

Thus, each bag of chips costs $2.

Answer 2

bag of chips = 2

cookies=1

Step-by-step explanation:

b = bags of chip cost

c = cookie cost

7b+3c = 17

3b +1c = 7

Multiply the second equation by -3

-9b -3c = -21

Add this to the first equation

7b+3c = 17

-9b -3c = -21

------------------------

-2b = -4

Divide by -2

-2b/-2 = -4/-2

b = 2

Now find c

3b +1c = 7

3(2)+c = 7

6+c =7

c = 7-6

c=1