Answer:
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.
