Question

Rachel has 1/2 pound of flour in a container. If the container is 2/5 full, how many pounds of flour can Rachel fit in the entire container.

Answer 1

`(5)/(4)` pound of flour can Rachel fit in entire container.

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=
`(2)/(5)`

Space remaining in container=1-
`(2)/(5)`.

=
`(3)/(5)`

Now,

`(1)/(2)` pound containing in =
`(2)/(5)`space

x pound containing in =
`(3)/(5)` space

Now setting proportion

`((1)/(2) )/(x)`=
`((2)/(5) )/((3)/(5) )`

On simplify
`(1)/(2x)`=
`(2)/(3)`

By cross multiplication: 2x*2=3*1

4x=3

On dividing both side by 4 we get

x=
`(3)/(4)` pound

Total number of pound can be fill in entire container =
`(3)/(4)`+
`(1)/(2)`

=
`(5)/(4)` pound

Therefore,
`(5)/(4)` pound of flour can Rachel fit in entire container.