Answer:
126 cups of fertilizer
Step-by-step explanation:
The complete question is
Debra's rectangular garden measures 9 1/3 by 12 yards .a bottle of fertilizer cost $14.79 .if Debra needs to mix 1/8 cup of fertilizer with water for each square foot of her garden how many cups of fertilizer does she need?
step 1
Find the area of the rectangular garden
The area of rectangle is equal to
[tex]A=LW[/tex]
we have
[tex]L=9\frac{1}{3}\ yd=9+\frac{1}{3}=\frac{9*3+1}{3}=\frac{28}{3}\ yd[/tex]
[tex]W=12\ yd[/tex]
substitute
[tex]A=(\frac{28}{3})12=112\ yd^2[/tex]
step 2
Convert square yards to square feet
Remember that
[tex]1\ yd=3\ ft[/tex]
[tex]1\ yd^2=9\ ft^2[/tex]
so
[tex]112\ yd^2=112)9)=1,008\ ft^2[/tex]
step 3
Find how many cups of fertilizer does she need
using proportion
[tex]\frac{(1/8)}{1}\ \frac{cups}{ft^2}=\frac{x}{1,008}\ \frac{cups}{ft^2}\\\\x=1,008/8\\\\x=126\ cups[/tex]
