109k views
5 votes
Mei and Alberto are selling cookie dough. Mei sold 11 packages of chocolate chip and 12 packages of gingerbread for a total of $352. Alberto sold 10 packages of chocolate chip and 8 packages of gingerbread for a total of $270. What is the price of a package of chocolate chip and the price of a package of gingerbread?

User Toskv
by
5.0k points

1 Answer

4 votes

Answer:

The price of a package of chocolate chip is $13.25

The price of a package of gingerbread is $17.18

Explanation:

11x + 12y = 352

10x +8y = 270

Let "x" be the price of a package of chocolate chip.

Let "y" be the price of a package of gingerbread.

11x + 12y = 352(Multiply the 1st row by 10)

10x +8y = 270 (Multiply the 2nd row by 11)

-------------------

110x + 120y = 3520

110x +88y = 2970

--------------------------

3y = 550

y =550/3

y = 17.1875

The price of a package of gingerbread "y" is $17.18

Let's pick the first equation "110x + 120y = 3520"

110x + 120y = 3520

110x+ 120(17.1875)= 3520

110x+2062.5=3520

110x=3520−2062.5

110x=1457.5

x= 1457.5/110

x=13.25

The price of a package of chocolate chip is $13.25

User Gaurav Roy
by
4.6k points