Question

11 cards and 3 boxes of candy cost $35.39. 12 cards and 4 boxes of candy cost $42.68. How much does one card cost?

Answer 1

We can set up a system of linear equations to solve for the cost of one card:

Let x be the cost of one card.

Then 11x + 3(candy price) = 35.39 and 12x + 4(candy price) = 42.68

We can substitute the second equation into the first to eliminate the candy price:

11x + 3(12x + 4) = 35.39

11x + 36x + 12 = 35.39

47x = 23.39

Solving for x, we find:

x = 0.50

So one card costs $0.50.