Answer:
The cost of 1 pecan cheesecake = $11
The cost of 1 strawberry cheesecake = $15
Step-by-step explanation:
Let, the cost of one pecan cheesecake = $x
And, the cost of one strawberry cheesecake = $y
So, according to the question
Amanda sells 12 pecan cheesecake and six strawberry cheesecakes for $222
⇒ 12x + 6y = $ 222
Cali sells 2 pecan cheesecake and 12 strawberry cheesecakes for $202
⇒ 2x + 12y = $ 202
Hence, the system of the equations are: 12x + 6y = $ 222
2x + 12y = $ 202
Solving these system of equations, we get
12x + 6y - 12x -72 y = 222 - 1212
or, -66 y = -990 ⇒ y = 990/66
⇒ y = 15
Putting y = 15 in 12 x+ 6 y = 222
12 x + 6(15) = 222
or, 12 x = 222 - 90 ⇒ x = 132/12 = 11
So, x = $11 , y = $15
Hence, the cost of 1 pecan cheesecake = $11
The cost of 1 strawberry cheesecake = $15