what is the solution for the word problem?

Question: tennis rackets can be packaged in cartons holding 2 rackets each or in cartons holding 3 rackets each. Yesterday's packing slip showed that 38cartons were used to pack a total of 100 rackets. How many cartons of each size were used yesterday?

Answer: Let's let X = packets with 2 rackets and Y = packets with 3 rackets. X + Y = 38 We know that the total of rackets is 100, and that they come in packages of 2 or 3. Thus 2X + 3Y = 100. Now you need to solve these two equations by substitution. Try it, and the scroll down to check your answer. Y = 24, X = 14. If this or another answer here proves helpful in your research, you can encourage good answers by choosing one answer as the "best answer." Cheers, Bruce

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