The cost of the pecan cheesecake and one apple cheesecake are $11 and $17.
According to the statement
we have given that the Sumalee sold 6 pecan cheesecakes and 12 apple
cheesecakes for a total of $270. Julio sold 12 pecan cheesecakes and 9 apple cheesecakes for a
total of $285.
And we have to find that the cost each of one pecan cheesecake and one apple cheesecake.
So, for this purpose,
Let x be the cost of each pecan cheesecake.
and y be the cost of each one apple cheesecake.
Then The equation become
6x + 12y = 270 -(1)
12x + 9y = 285 -(2)
From elimination method
multiply (1) by 12 and (2) by 6 then
72x + 144y = 3240
72x + 54y = 1710
Now eliminate x from them then the equation become
90y = 1530
here y = 17
then the x become
6x + 12y = 270
6x + 12(17) = 270
6x = 270-204
6x = 66
and x become 11.
So, The cost of the pecan cheesecake and one apple cheesecake are $11 and $17.
Learn more about Elimination method here
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