Let the length of rope be 1 unit.Given Joshua used
of a coil of rope to hold a shelf to the wall.
Remainder rope = ![1-\frac{1}{4} =\frac{3}{4}](https://tex.z-dn.net/?f=%201-%5Cfrac%7B1%7D%7B4%7D%20%3D%5Cfrac%7B3%7D%7B4%7D%20%20)
Joshua kept
of the remainder
Rope kept by Joshua =![\frac{3}{4} .\frac{4}{9} =\frac{12}{36} =\frac{1}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B4%7D%20.%5Cfrac%7B4%7D%7B9%7D%20%3D%5Cfrac%7B12%7D%7B36%7D%20%3D%5Cfrac%7B1%7D%7B3%7D%20%20)
Rope left =![\frac{3}{4} -\frac{1}{3} =\frac{9-4}{12} =\frac{5}{12}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B4%7D%20-%5Cfrac%7B1%7D%7B3%7D%20%3D%5Cfrac%7B9-4%7D%7B12%7D%20%3D%5Cfrac%7B5%7D%7B12%7D%20%20)
With this Joshua ties two parcels
a) Fraction of rope used to tie each parcel =
÷2
=![\frac{5}{12} .\frac{1}{2} =\frac{5}{24}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B12%7D%20.%5Cfrac%7B1%7D%7B2%7D%20%3D%5Cfrac%7B5%7D%7B24%7D%20%20)
b)Joshua has 240 cm of rope .
Rope used to tie each parcel =
=50cm.
The answer is A
Explanation-
3x + 4= 2x + 6
-4 = -4
3x=2x + 4
-2x= -2x
X=4
24 1/2 or 24.5 is the answer