Final answer:
To determine the minimum number of wrapping paper and ribbons Ragina can buy to have the same amount of each, one must calculate the least common multiple (LCM) of the pack sizes, which is 20.
Step-by-step explanation:
Regina wants to buy the same number of wrapping paper and ribbons, with wrapping paper sold in packs of 4 and ribbons sold in packs of 10. To find out the minimum number that Ragina can buy so that she has an equal amount of each, we need to find the least common multiple (LCM) of the two pack sizes. The LCM of 4 and 10 is the smallest number that both 4 and 10 can divide into without leaving a remainder.
To calculate the LCM, we can list the multiples of 4 (4, 8, 12, 16, 20, 24, ...) and the multiples of 10 (10, 20, 30, 40, 50, ...). The smallest number that appears on both lists is 20. Therefore, Ragina needs to buy 5 packs of wrapping paper (5 x 4 = 20) and 2 packs of ribbons (2 x 10 = 20) to have the same amount of each, which makes the minimum number she can buy 20.