Respuesta :
Answer:
Plants fertilized = 14
Amount of remaining fertilizer = [tex]\frac{1}{6}[/tex] ounces
Step-by-step explanation:
Mrs Lemke has the amount of fertilizer = [tex]10\frac{2}{3}[/tex] ounces
For each plant she is using fertilizer = [tex]\frac{3}{4}[/tex] ounce
Let number of plants she fertilized = x
Therefore, total amount of fertilizer used = [tex]\frac{3x}{4}[/tex] ounce
Equation for the fertilizer used in x plants will be
[tex]\frac{3x}{4}[/tex] = [tex]\frac{32}{3}[/tex]
x = [tex]\frac{32}{3}\times \frac{4}{3}[/tex]
x = [tex]\frac{128}{9}[/tex]
x = [tex]14\frac{2}{9}[/tex]
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 = [tex]\frac{32}{3}-14\times \frac{3}{4}[/tex]
= [tex]\frac{32}{3}-\frac{42}{4}[/tex]
= [tex]\frac{128-126}{12}[/tex]
= [tex]\frac{2}{12}[/tex]
= [tex]\frac{1}{6}[/tex] ounces
