Ashop sells gift wrap for $4 per package and greeting cards for $10 per package. if the shop
sells 205 packages in all and receives a total of $1084, how many packages of gift wrap and
greeting cards were sold?

Total number of gift wraps sold  = 161

The number of cards sold  =  44

Step-by-step explanation:

Selling price of each gift wrap =  $4

Selling price of each greeting card  =  $10

Total packages sold by the shop = 205

Total amount earned = $1084

Now, let the number of gift wraps sold  =  m

⇒ The cost of m gift wraps  =  m x Cost of each gift wrap

= m x($4) =   4 m

Also, the number of greetings cards sold  = (205 -m)

⇒ The cost of (205-m)  greetings cards

=  (205-m) x Cost of each greetings cards

=(205-m) x $10  = $2050  - 10 m

According to the question,

Total earned amount =Amount earned from Gift wrap  + Greeting cards

or, $1084  = 4 m + ( $2050 -10m)

or, 1084 - 2050  = 4 m -10 m

⇒  -6 m  = -966

or, m = 966 / 6 = 161

Hence, the total number of gift wraps sold =  m  = 161

And, the number of cards sold = 205 - m = 205 - 161   =  44

4

step-by-step explanation: