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Trevon and Ming are selling cheesecakes for a school fundraiser. Customers can buy French silk cheesecake and apple cheesecake. Trevon sold 8 French silk cheesecakes and 1 apple cheesecake for a total of $54. Ming sold 3 French silk cheesecakes and 1 apple cheesecake for a total of $29. Find the cost each of one French silk cheesecake and one apple cheesecake.

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The cost of one French silk cheesecake is $5 and one apple cheesecake is $14.

Step-by-step explanation:

Let,

Cost of one French silk cheesecake = x

Cost of one apple cheesecake = y

According to given statement;

8x+y=54     Eqn 1

3x+y=29     Eqn 2

Subtracting Eqn 2 from Eqn 1

[tex](8x+y)-(3x+y)=54-29\\8x+y-3x-y=25\\5x=25[/tex]

Dividing both sides by 5

[tex]\frac{5x}{5}=\frac{25}{5}\\x=5[/tex]

Putting x=5 in Eqn 1

[tex]8(5)+y=54\\40+y=54\\y=54-40\\y=14[/tex]

The cost of one French silk cheesecake is $5 and one apple cheesecake is $14.

Keywords: linear equation, subtraction

Learn more about linear equations at:

  • brainly.com/question/10250188
  • brainly.com/question/10480770

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