PROBLEM-SOLVINGDanilo, a school varsity player, has32 pairs of socks and 16 pairs ofshoes. He wants to sell a packageof shoes and socks. What is thegreatest number of packages thathe can sell with no remaining pair ofshoes and socks?ASSESSMENTa. What is Asked?b. What are the given facts?c. What strategy can we use to solvethe problem?ASSESSMENTd. What is the solution?e. What is the answer?f. Check
Answer (1)
a. What is Asked? - What is the greatest number of packages Danilo can sell with no remaining pairs of shoes and socks?b. What are the given facts? - Danilo has 32 pairs of socks and 16 pairs of shoes.c. What strategy can we use to solve the problem? - We can use the Greatest Common Divisor (GCD) to determine the maximum number of packages that can be made without any leftovers.d. What is the solution? - To find the GCD of 32 and 16, list the factors: - Factors of 32: 1, 2, 4, 8, 16, 32. - Factors of 16: 1, 2, 4, 8, 16. - The greatest common factor is 16.e. What is the answer? - The greatest number of packages Danilo can sell is 16.f. Check - If Danilo makes 16 packages, he will use: - 16 pairs of shoes (16 packages × 1 pair of shoes per package = 16 pairs of shoes), - 16 pairs of socks (16 packages × 1 pair of socks per package = 16 pairs of socks). - He will have no pairs of shoes or socks left over, so the solution is correct.Pa brainliest po, thank.
