Question

Suppose your class sells gift wrap for $4/pack and greeting cards for $10/pack. Your class sells 205 packages in all and receives a total of $1084. Find the number of packages of gift wrap and the number of packages of greeting cards sold.

Answer 1

Answer: 161 packages of gift wrap and the 44 packages of greeting cards

Step-by-step explanation:

We are told the class sells 205 packages in total of gift wraps and greting cards:

$205=x+y$ (1)

Where $x$ is the number of packages of gift wrap and $y$ is the number of packages of greeting cards.

In addition, we are told the class receives a total of $\ 1084$ selling each package of gift wrap for $\ 4$ and each package of greeting cards for $\ 10$:

$1084=4x+10y$ (2)

Isolating $x$ from (1):

$x=205-y$ (3)

Substituting (3) in (2):

$1084=4(205-y)+10y$ (4)

Finding $y$:

$y=44$ (5) This is the number of packages of greeting cards

Substituting (5) in (1):

$205=x+44$ (6)

Isolating $x$:

$x=161$This is the number of packages of gift wrap