Question

at a bakery, the cost of one cupcake and two slices of pie is $12.40. The cost of two cupcakes and three slices of pie is $20.20. What is the cost of one cupcake?

Answer 1

The cost of one cupcake is 3.2 and cost of one slice be 4.6.

Explanation:

Let the cost of one cupcake be x and cost of one slice be y.

It is given that the cost of one cupcake and two slices of pie is $12.40.

`x+2y=12.40` .... (1)

The cost of two cupcakes and three slices of pie is $20.20.

`2x+3y=20.20` .... (2)

On solving (1) and (2), we get

`x=3.2`

`y=4.6`

Therefore the cost of one cupcake is 3.2 and cost of one slice be 4.6.

Answer 2

$3.2

Explanation:

Let x be the cost of each cupcake and y be the cost of each slice of pie.

We have been given that the cost of one cupcake and two slices of pie is $12.40. We can represent this information as:

`x+2y=12.40...(1)`

We have been given that the cost of two cupcakes and three slices of pie is $20.20. We can represent this information as:

`2x+3y=20.20...(2)`

We will use substitution method to solve for the cost of one cupcake.

From equation (1) we will get,

`y=(12.40-x)/(2)`

Substituting this value in equation (2) we will get,

`2x+3((12.40-x)/(2))=20.20`

`(4x)/(2)+3((12.40-x)/(2))=20.20`

`(4x)/(2)+(37.2-3x)/(2)=20.20`

`(4x+37.2-3x)/(2)=20.20`

`2* (4x+37.2-3x)/(2)=2* 20.20`

`4x+37.2-3x=40.40`

`4x+37.2-37.2-3x=40.40-37.2`

`4x-3x=40.40-37.2`

`x=3.2`

Therefore, cost of one cupcake is $3.2.