6 The first flowerbed that Marita made used 1 1/2 bags of barkdust. The flowerbed she is now making is
times 2 1/5 as large as the first. How much barkdust will be used for this flowerbed?
(11/5) * (3/2) = 33/10 = 3 3/10
To calculate the amount of barkdust needed for the second flowerbed, we need to find the total number of bags used for the first flowerbed and then multiply it by the size factor of the second flowerbed.
Given that the first flowerbed used 1 1/2 bags of barkdust, we can represent this as the mixed number 1 + 1/2, which is equivalent to 3/2.
To calculate the size of the second flowerbed, we need to multiply the size factor by the size of the first flowerbed. The size factor is given as 2 1/5, which can be written as the mixed number 2 + 1/5, or the improper fraction 11/5.
To find the total amount of barkdust needed for the second flowerbed, we multiply the number of bags for the first flowerbed by the size factor:
Total barkdust needed = (Number of bags for the first flowerbed) * (Size factor for the second flowerbed)
Substituting the given values:
Total barkdust needed = (3/2) * (11/5)
To multiply these fractions, we multiply the numerators together and the denominators together:
Total barkdust needed = (3 * 11) / (2 * 5)
Calculating:
Total barkdust needed = 33 / 10
Therefore, the second flowerbed will require 33/10 bags of barkdust.