trygg has 3/4 package of marigold seeds. He plants 1/6 of those seeds in his garden and divides the rest equally into 10 flowerpots. what fraction of a package of seeds is planted in each flowerpot
Trygg has 3/4 package of marigold seeds. He plants 1/6 of those seeds in his garden, then he plants exactly
\(\dfrac{3}{4}\cdot \dfrac{1}{6} =\dfrac{3\cdot 1}{4\cdot 6}= \dfrac{3}{24} =\dfrac{1}{8}\)
of seeds.
Now count how much of package left:
\(\dfrac{3}{4}-\dfrac{1}{8} =\dfrac{6}{8}-\dfrac{1}{8} =\dfrac{6-1}{8}=\dfrac{5}{8}.\)
He divides the rest \(\left(\dfrac{5}{8}\right)\) equally into 10 flowerpots, then in each flowerpot is planted
\(\dfrac{\dfrac{5}{8}}{10}=\dfrac{5}{8} \cdot \dfrac{1}{10}=\dfrac{5\cdot 1}{8\cdot 10}=\dfrac{1}{16}.\)
Answer: in each flowerpot is planted \(\dfrac{1}{16}\) package of marigold seeds.