The table shows the total number of cakes and pies sold at a fundraiser on friday and saturday. it also shows the dollar amount taken in each day.

cake pies total
friday 30 20 $460
saturday 30 40 $620
what is the cost of a cake and the cost of a pie?

Let x = price for each cake and y = price of each pie in dollars.

We can get two equations out of the data. One from the Friday set, the other from the Saturday set.





Then, we subtract both equations. The difference would be:

-20y = -160
y = -160 ÷ -20
y = $8

Finally, we substitute y to any of the equations. Suppose, we use equation 1:

30x + 20(8) = 460
30x = 460 - 160
30x = 300
x = 300 ÷ 30 
x = $10

Therefore, the cost for each cake and pie is $10 and $8, respectively.