Lisa and julia are selling cookie dough for a school fundraiser. customers can buy packages of sugar cookie dough and packages of chocolate chip cookie dough. lisa sold 13 packages of sugar cookie dough and 6 packages of chocolate chip cookie dough for a total of $252. julia sold 8 packages of sugar cookie dough and 12 packages of chocolate chip cookie dough for a total of $288. find the cost of each of one package of sugar cookie dough and one package of chocolate chip cookie dough.

x = y =
equations:
1.

2.
solution:

x=12Cost of one package of sugar cookie dough =$12

y=16Cost of chocolate chip cookie dough=$16

Step-by-step explanation:

The question is on formation of simultaneous equations

Let Sugar cookie dough to be x

Let chocolate chip cookie dough to be y

Equations

Lisa13x + 6y = $252(a)

Julia8x + 12 y= $288(b)

Solving the equations

12(13x + 6y = 252)156x +72y=3024

6(8x + 12 y= 288)48x + 72y=1728

Eliminate 72y by subtraction

108x=1296divide both sides by 108 to remain with x

x=1296/108x=12(c)

substitute (c) in (a) above

13x + 6y = 252

(13×12)+ 6y =252

156+6y=252

6y=252-156

6y=96divide both sides by 6 to remain with y

y=96/6 =16

Solutions

x=12Cost of one package of sugar cookie dough =$12

y=16Cost of chocolate chip cookie dough=$16

225x²+4=0

225x²=0-4

225x²=-4

x²=-4/225

x=±√-4/225