Dina has a bag of beads to make a necklace When asked to tel

Dina has a bag of beads to make a necklace. When asked to tell how many are in the bag, she said,\"I can make sets of 2 beads, 4 beads, and 5 beads and not have any left over. When I divide them into sets of 9, I have 7 left over.\" What is the least number of beads Dina can have?

Solution

Dear Student Thank you for using Chegg !! Let the total number of beads be N Now if the beads are split in sets of 2,4,5 N = 2a + 4b + 5c Also if beads are divided in sets of 9 N = 9d + 7 Now the minimum number of beads shall be of the order 1 16 2 25 3 34 Hence the minimum number of beads such that it can be divided in sets of 2,4,5 is 16 16 = 5*2 + 2 + 4 Solution