Linda works at the U-Pick Berry Farm selling strawberries and raspberries. Her first customer of the day bought 3 quarts of strawberries and 2 quarts of raspberries for $22.00. The second customer bought 5 quarts of strawberries and 4 quarts of raspberries for $39.00. Which system of equations can be used to find the costs of a quart of strawberries and a quart of raspberries?

Question

Mathematics

London Bennett

20 November, 23:05

Linda works at the U-Pick Berry Farm selling strawberries and raspberries. Her first customer of the day bought 3 quarts of strawberries and 2 quarts of raspberries for $22.00. The second customer bought 5 quarts of strawberries and 4 quarts of raspberries for $39.00. Which system of equations can be used to find the costs of a quart of strawberries and a quart of raspberries?

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Jovany Bonilla · Answer 1

To calculate the costs of a quart of strawberries and a quart of raspberries, use the two given condition to set-up an equation. Since two variables are unknown, it needs two equation to calculate the solution. Let x be the cost of a quart of strawberries and y as the cost of a quart of raspberries. So, 1st equation is 3x + 2y = 22, and 2nd equation is 5x + 4y = 39. Substitute one equation into the other by expressing one variable into another variable. Then, the answer is x = $3.5 and y = $5.75.