Your class sells gift wrap for $6 per package and greeting cards for $5 per package.

Question

Your class sells gift wrap for $6 per package and greeting cards for $5 per package. Your class sells 11 packages in all and receives a total for $60. Find the number of packages of gift wrap and the number of packages of greeting cards sold.

Answer 1

W = number of packages of gift wrap

C = number of packages of greeting cards

Set up the system of linear equations based on the given scenario.

6W + 5C = 60

W + C = 11

Use the substitution method: C = 11 - W

6W + 5(11 - W) = 60

6W + 55 - 5W = 60

W + 55 = 60

W = 5

Plug in 5 for W in one of the original equations to find C.

5 + C = 11 → C = 6

6(5) + 5(6) = 30 + 30 = 60

The class will sell 5 packages of gift wrap and 6 packages of greeting cards to make a profit of $60.