Question

the cost of two pies and five cakes is $45.25. the cost of 2 pies and three cakes is $39.75 find the cost of each pie and each cake

Answer 1

cost of each pie = $15.75

cost of each cake = $2.75

Explanation:

Let x be the Pie and y be the cake.

Given:

The cost of two pies and five cakes is $45.25,

`2x+5y=45.25`-----------(1)

The cost of 2 pies and three cakes is $39.75

`2x+3y=39.75`--------------(2)

Now we subtract equation 2 from equation 1.

`2y=5.5`

`y=(5.5)/(2)`

y=2.75

Now we substitute the value of y in equation 1.

`2x+5* 2.75=45.25`

`2x+13.75=45.25`

`2x=45.25-13.75`

`2x=31.5`

`x=(31.5)/(2)`

x=15.75

So, The cost of each pie is $15.75

And the cost of each cake is $2.75