Package A contains 3 birthday cards and 2 thank-you notes and costs 9 point 6 0 dollars Package B contains 8 birthday cards and 6 thank-you notes and costs 26 point 6 0 dollars 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? 3 x plus 2 y is equal to 9 point 6 8 x plus 6 y is equal to 26 point 6
The packages give the equations 3x + 2y = 9.60 and 8x + 6y = 26.60. Multiply the first equation by 3 to get 9x + 6y = 28.80, then subtract the second equation; this gives x = 2.20. Each birthday card costs $2.20, which is choice B.
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