Verified Answer :
Answer:
Plants fertilized = 14
Amount of remaining fertilizer = \(\frac{1}{6}\) ounces
Step-by-step explanation:
Mrs Lemke has the amount of fertilizer = \(10\frac{2}{3}\) ounces
For each plant she is using fertilizer = \(\frac{3}{4}\) ounce
Let number of plants she fertilized = x
Therefore, total amount of fertilizer used = \(\frac{3x}{4}\) ounce
Equation for the fertilizer used in x plants will be
\(\frac{3x}{4}\) = \(\frac{32}{3}\)
x = \(\frac{32}{3}\times \frac{4}{3}\)
x = \(\frac{128}{9}\)
x = \(14\frac{2}{9}\)
Since plants can't be in the fraction so only 14 plants can be fertilized and some amount of fertilizer will remain unused.
Amount of fertilizer remaining = \(\frac{32}{3}-14\times \frac{3}{4}\)
= \(\frac{32}{3}-\frac{42}{4}\)
= \(\frac{128-126}{12}\)
= \(\frac{2}{12}\)
= \(\frac{1}{6}\) ounces