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Tyler and Haley are selling cookie dough for a school fundraiser. Customers have the choice of chocolate chip cookie dough or sugar cookie dough. Tyler sold eight packages of chocolate chip cookie dough and 12 packages of sugar cookie dough for a total of $244. Haley sold five packages of chocolate chip cookie dough and two packages of sugar cookie dough for a total of $92. write a system of equations and solve to find the cost of one package of chocolate chip cookie dough and one package of sugar cookie dough.
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Respuesta :

JeanaShupp

Answer: Cost of 1 package of chocolate chip cookie = $14

Cost of 1 package of sugar cookie dough = $11

Step-by-step explanation:

Let x = cost of 1 package of chocolate chip cookie.

y =cost of 1 package of sugar cookie dough.

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As per given,

8x+12y=244      (i)

5x+2y = 92    (ii)

Multiply 6 on both sides of (ii)

30x+12y= 552    (iii)

Eliminate (i) from (iii), we get

22x  = 308

⇒ x= 14  [Divide both sides by 22]

Put this in (ii), we get

5(14)+2y = 92

⇒ 70+2y=92

⇒ 2y= 22

⇒  y=11  [Divide both sides by 2]

Hence, cost of 1 package of chocolate chip cookie = $14

Cost of 1 package of sugar cookie dough = $11

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