Answer: a package of cookies cost $ 5 and each bag of chips cost $5
Step-by-step explanation:
Let x represent the cost of a package of cookies and y represent the cost of a bap of chips ,then from the first statement :
4x + 4y = 40
dividing through by 4 , we have
x + y = 10 ........................... equation 1
From the second statement
3x + 5y = 40 ..................... equation 2
Solving the system of linear equation by substitution method , from equation 1 , make x the subject of the formula , that is
x = 10 - y ................... equation 3
substitute x = 10 - y into equation 2 , we have :
3 (10 - y ) + 5y = 40
30 - 3y + 5y = 40
30 + 2y = 40
subtract 30 from both sides
2y = 40 -30
2y = 10
y = 5
substitute y = 5 into equation 3 , equation 3 becomes
x = 10 - 5
x = 5
Therefore ; a package of cookies cost $ 5 and each bag of chips cost $5
