Question

Martha exprime 5 naranjas para hacer jugo. Si ya tiene 3/5 litros de jugo, ?Cuanto le falta para llenar un recipiente que tiene 9/10 de capacidad?

Answer 1

Martha squeezes 5 oranges to make juice. If she already has 3/5 liters of juice, how many times does she need to fill a container that has 9/10 capacity?

According to the problem, with 5 oranges Martha has $\frac{3}{5}$ litters of orange juice.

First we have to find how many litters are needed to reach the $\frac{9}{10}$ litters capacity of the container. This can be mathematically expressed as follows:

$\frac{3}{5}L+X=\frac{9}{10}L$

Let’s find X:

$X=\frac{9}{10}L-\frac{3}{5}L$

$X=\frac{3}{10}L$

This means that Martha needs $\frac{3}{10}L$ to reach the $\frac{9}{10}L$ capacity.

Now, if 5 oranges represent $\frac{3}{5}L$, how many oranges represent $\frac{3}{10}L$?

This can be solved by “the rule of three” also called cross-multiplication:

5 oranges--------$\frac{3}{5}L$

N oranges--------$\frac{3}{10}L$

$N=\frac{\frac{3}{10}L(5)}{\frac{3}{5}L}$

$N=\frac{5}{2}oranges$

This is equivalent to $2.5 oranges$

This means Martha needs 2.5 oranges or $\frac{3}{10}L$ to to fill a container that has 9/10 capacity.