Question

two chocolate chip cookies and three brownies cost a total of 9.50. One chocolate chip cookie and two brownies cost a total of 6.00. What is the price of a chocolate chip cookie and a brownie? Show all work

Answer 1

Explanation:

Let Chocolate=X, Brownie=Y
2X+3Y=9.50 (Eq 1)
X+2Y=6.00 (Eq 2)

Multiplying Eq 2 by 2
2(X+2Y=6.00) (Eq 3)

Subtracting Eq 3 by Eq 1
2X+3Y=9.50
2X+4Y=12.00
0-Y= -2.5
Y=2.5

Putting Value of Y in Eq 2
X+2(2.5)=6.00
X+5=6
X=6-5
X=1