Trevon and Ming are selling cheesecakes for a school fundraiser. Customers can buy French silk cheesecake and apple cheesecake.

Question

nataly862011 [7]

3 years ago

12

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.

Mathematics

1 answer:

qwelly [4] · Answer 1 · 2022-09-06T19:57:58+03:00

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

$(8x+y)-(3x+y)=54-29\\8x+y-3x-y=25\\5x=25$

Dividing both sides by 5

$\frac{5x}{5}=\frac{25}{5}\\x=5$

Putting x=5 in Eqn 1

$8(5)+y=54\\40+y=54\\y=54-40\\y=14$

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:

#LearnwithBrainly