Respuesta :
Answer:
[tex]\frac{5}{4}[/tex] pound of flour can Rachel fit in entire container.
Step-by-step explanation:
Given: Rachel has 1/2 pound of flour in a container.
Container is 2/5 full.
To find: How many pound of flour can Rachel fit in entire container.
Explanation:
We are given that container full=[tex]\frac{2}{5}[/tex]
Space remaining in container=1-[tex]\frac{2}{5}[/tex].
=[tex]\frac{3}{5}[/tex]
Now,
[tex]\frac{1}{2}[/tex] pound containing in =[tex]\frac{2}{5}[/tex]space
x pound containing in = [tex]\frac{3}{5}[/tex] space
Now setting proportion
[tex]\frac{\frac{1}{2} }{x}[/tex]=[tex]\frac{\frac{2}{5} }{\frac{3}{5} }[/tex]
On simplify [tex]\frac{1}{2x}[/tex]=[tex]\frac{2}{3}[/tex]
By cross multiplication: 2x*2=3*1
4x=3
On dividing both side by 4 we get
x=[tex]\frac{3}{4}[/tex] pound
Total number of pound can be fill in entire container =[tex]\frac{3}{4}[/tex]+[tex]\frac{1}{2}[/tex]
= [tex]\frac{5}{4}[/tex] pound
Therefore, [tex]\frac{5}{4}[/tex] pound of flour can Rachel fit in entire container.
