Question

A corner store sells two kinds of baked goods: cakes and pies. A cake costs $14 and a pie costs $8. In one day, the store sold 12 baked goods for a total of $144. How many cakes did they sell?

Answer 1

`8` number of cakes were sold.

Explanation:

Out of `12` baked goods sold , let the number of cakes sold

be `x` in number and pies sold were `12-x` in number.

Total sell was `$144` , `1` cake costs `$14` and `1` pie costs

`$8 :. 14*x + (12-x)*8=144 or 14 x -8 x =144-96` or

`6 x= 48 :. x = 8`

Therefore, `8` cakes were sold [Ans]

Answer 2

`8` cakes were sold

Explanation:

You can use two variables.

Let the number of cakes be `x` and the number of pies be `y`

If `12` baked goods were sold:

`x+y= 12" "rarr color(blue)(x = (12-y))`

Using the price of each we can write the equation:

`14color(blue)(x)+8y= 144`

`14(color(blue)(12-y)) +8y= 144`

`168 -14y +8y=144`

`168-144 = 6y`

`24 =6y`

`4=y`

`4` pies were sold and `8` cakes were sold.

Check: `8xx14 +4xx8 = 112+32=144`