Amanda sold 12 pecan cheesecake and six strawberry cheesecakes for a total of $222. calli sold two pecan cheesecake and 12 strawberry cheesecakes for total of $202. what is the cost of each type of cheesecake?

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

step-by-step explanation:

one of the most important purposes of surface treatment is to alter surface properties according to the requirement of specific applications. for example, hydrophobic coating has been utilized on windshield and eyeglasses. gold atom monolayer on substrate has become a popular surface bioconjugation strategy.