Question

Five lemonades and two cookles cost $1.50. Two lemonades and five cookles cost $2.70. How much does one cookle and one lemonade cost?

Answer 1

50¢/cookie, $1.00/lemonade

Explanation:

Let l = cost of one lemonade

c = cost of one cookie

We have:

5l + 2c = 1.50 -------> 10l + 4c = 3.00

2l + 5c = 2.70 -------> 10l + 25c = 13.50

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21c = 10.50

c = .50

5l + 2(.50) = 1.50

5l + 1.00 = 1.50

5l = 5, so l = 1.00

Each cookie costs 50¢, and each lemonade costs $1.00.