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

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