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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.

1 Answer

5 votes

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=161This is the number of packages of gift wrap

User Sikandar Amla
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