Question

lexi has planted seeds in 3/5 of the garden. she used 1/2 pound of seeds. how many pounds will she use for the entire garden

Answer 1

1/4 ?

Answer 2

so if 3/5 is just a fraction of the garden, 5/5 will be the entire garden itself, so \(\large \begin{array}{ccll}
seeds&garden\\
\hline\\
\frac{1}{2}&\frac{3}{5}\\ \quad \\
x&\frac{5}{5}
\end{array}\implies \cfrac{\frac{1}{2}}{x}=\cfrac{\frac{3}{5}}{\frac{5}{5}}\)

Answer 3

so would the answer be \[\frac{ 1 }{ 2 }\] ? @jdoe0001

Answer 4

hmm well... can't be, she already used 1/2 of the seeds for 3/5 of the garden
so it has to be more, since she'd need more seeds for the other 2/5 of the garden

so it'd be 1/2 + SOME AMOUNT

Answer 5

for some reason i got \[1 \frac{ 1 }{5 }\]

Answer 6

let's see gimme one sec

Answer 7

this is how i set up my equation:
\[\frac{ 3 }{ 5 }\div \frac{ 1 }{ 2 } =\frac{ 6 }{5 } which simplifies \to 1\frac{ 1 }{ 5}\]

Answer 8

..... yeap \( \large{\begin{array}{ccll}
seeds(lbs)&garden\\
\hline\\
\frac{1}{2}&\frac{3}{5}\\ \quad \\
x&\frac{5}{5}
\end{array}\implies \cfrac{\frac{1}{2}}{x}=\cfrac{\frac{3}{5}}{\frac{5}{5}}
\\ \quad \\
\textit{cross-multiplying we get }x=\cfrac{\frac{5}{5}\cdot \frac{1}{2}}{\frac{3}{5}}\implies x=\cfrac{1\cdot \frac{1}{2}}{\frac{3}{5}}
\\ \quad \\
x=\cfrac{\frac{1}{2}}{\frac{3}{5}}\implies x=\cfrac{1}{2}\cdot \cfrac{5}{3}}\)

Answer 9

so the answer would be \[\frac{ 5 }{ 6 }\]

Answer 10

@jdoe0001

Answer 11

sorry but website is a bit lagged

yeap 5/6