Question

Package A contains 3 birthday cards and 2 thank you notes and costs $18. Package B contains 8 birthday cards and 6 thank you notes and costs $50. If x represents the cost of a birthday card and y represents the cost of a thank you note, how much does each birthday card cost?

Answer 1

Two equations can be generated from the equation above, one for Package A and the other for Package B.

(Package A) 3x + 2y = 18
(Package B) 8x + 6y = 50

Solving simultaneously for the values of x and y gives, x = 4 and y = 3. Hence, each birthday card costs $4.