Wilbur and eugene are selling cheesecakes for a school fundraiser customers can buy french silk cheesecakes and apple cheesecakes wilbur sold 13 french silk cheesecakes and 12 apple cheesecakes for a total of $331 eugene sold 2 french silk cheesecakes and 3 apple cheesecakes for a total of $74 what is the cost each of one french silk cheesecake and one apple cheescake

one french silk cheesecake = $7

one apple cheescake = $20

Step-by-step explanation:

Let the cost of one french silk cheesecake be represented by a

Let the cost of one apple cheescake be represented by b.

We are told that wilbur sold 13 french silk cheesecakes and 12 apple cheesecakes for a total of $331 . This can be written as:

13a + 12b = 331 equation i

Eugene sold 2 french silk cheesecakes and 3 apple cheesecakes for a total of $74. This can be written as:

2a + 3b = 74 equation ii

13a + 12b = 331 equation i

2a + 3b = 74 equation ii

Multiply equation i by 2

Multiply equation ii by 13

26a + 24b = 662 equation iii

26a + 39b = 962 equation iv

Subtract equation iv from iii

-15b = -300

b = 300/15

b = 20

The cost of one apple cheescake is $20.

From equation ii,

2a + 3b = 74

2a + 3(20) = 74

2a + 60 = 74

2a = 74 - 60

2a = 14

a = 14/2

a = 7

The cost of one french silk cheesecake is $7.

a - base

b - exponent

so,