Grades 5-6 Video Solutions 2024-2024_5-6

Video Transcription

Question 27. A grandmother has some candy. She decides to divide it up among her grandchildren  so that each has a bag containing the same number of pieces of candy. She puts the largest possible number of pieces of candy in each bag. When she's done, there are 20 pieces  of candy in each bag and there are 12 pieces of candy left over. What is the smallest possible  number of pieces of candy she could have? Since there are 12 pieces of candy left over, we must have more than 12 grandchildren since if we had less than 12 grandchildren, we could  give at least one more candy to each grandchild. Since there are 20 pieces of candy in each bag,  each additional grandchild we count will result in a 20 candy increase. This means to get the  smallest number of candies, we need to have the smallest number of grandchildren. The smallest  number that is greater than 12 is 13, which means that we will have 13 grandchildren. Each of these  13 grandchildren will get 20 pieces of candy, which totals to 260 candies. Then we add the 12 leftover candies to get 272 candies.

Video Summary

A grandmother divides candy among her grandchildren, with each receiving 20 pieces, and 12 pieces leftover. To find the smallest possible total number of candies, she must have at least 13 grandchildren. With 13 grandchildren, each receiving 20 pieces, the total is 260, plus the 12 leftover results in a minimum of 272 pieces of candy.