Answer:
4 hours.
Step-by-step explanation:
Let x represent number of hours.
We have been given that Olivia can make 126.6 tons an hour. So tons made in x hours would be [tex]126.6x[/tex].
Since Olivia already has 28 tons on hand, so total amount of tons after x hours would be [tex]126.6x+28[/tex].
We are told that Olivia need to fill an order for 534.4 tons. So we will equate tons needed with [tex]126.6x+28[/tex] and solve for x as:
[tex]126.6x+28=534.4[/tex]
[tex]126.6x+28-28=534.4-28[/tex]
[tex]126.6x=506.4[/tex]
[tex]\frac{126.6x}{126.6}=\frac{506.4}{126.6}[/tex]
[tex]x=4[/tex]
Therefore, Olivia needs 4 hours to fill the order.