Question

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?

Answer 1

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.

$Equation \ 1: 30x+20y=460$

$Equation \ 2: 30x+40y=620$

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.

Answer 2

your answer would look like/

cake $ [10 ]

pie $ [8 ]