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

Answer:

cost of each pie = $15.75

cost of each cake = $2.75

Step-by-step 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.

$2y=5.5$

$y=\frac{5.5}{2}$

y=2.75

Now we substitute the value of y in equation 1.

$2x+5\times 2.75=45.25$

$2x+13.75=45.25$

$2x=45.25-13.75$

$2x=31.5$

$x=\frac{31.5}{2}$

x=15.75

So, The cost of each pie is $15.75

And the cost of each cake is $2.75