Question

Liza and Ava are selling cookie dough for a fundraiser.
Customers can buy packages of chocolate chip cookie dough
and packages of gingerbread cookie dough. Liza sold 8
packages of chocolate chip cookie dough and 12 packages of
gingerbread cookie dough for a total of $364. Ava sold 1
package of chocolate chip cookie dough and 4 packages of
gingerbread cookie dough for a total of $93. Use elimination to
solve the system of linear equations and determine the cost
each of one package of chocolate chip cookie dough, x and
the cost of one package of gingerbread cookie dough, y. Write
your answer as an ordered pair (x,y).

Answer 1

Liza y Ava están vendiendo galletas caseras para una recaudación de fondos. Los clientes pueden comprar paquetes de galletas con chispas de chocolate y paquetes de galletas  de jengibre. Liza vendió 8 paquetes de galletas con chispas de chocolate y 12 paquetes de galletas de jengibre por un total de $ 364. Ava vendió 1 paquete de galletas con chispas de chocolate y 4 paquetes de galletas de jengibre por un total de $ 93. Utilice la eliminación para resolver el sistema de ecuaciones lineales y determinar el costo cada uno de un paquete de galletas con chispas de chocolate, x y el costo de un paquete de galletas de jengibre, y. Escriba su respuesta como un par ordenado (x, y).

Respuesta: ($17 , $19)

Explicación paso a paso:

x = package of chocolate chip cookie dough

y = package of gingerbread cookie dough

We have a system of linear equations:

8x + 12y = $364 } Equation 1 (Liza)

x + 4y = $93 } Equation 2 (Ava)

• We multiply second equation by 3, so that the two equations have the same leading coefficient.

{3x + 12y = $279 } Equation 2

• Now, we subtract the second equation from the first.

8x + 12y = $364  

➖

3x + 12y = $279  

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8x - 3x = $364 -$279

• We solve this new equation for x

5x = $85

x = $85/5 = $17 one package of chocolate chip cookie dough

• We substitute x= $17 into Equation 2 above and solve for y

x + 4y = $93 } Equation 2  

$17 + 4y = $93

4y = $93 - $17 = $76

y = $76/4 = $19 one package of gingerbread cookie dough

Respuesta: ($17 , $19)

Michael Spymore