Olivia owns a flower factory, I need to fill an order for 534.4 times. She already has 28 tons on hand, and she can make 126.6 tons an hour. How many hours does olivia need to fill the order?

Respuesta :

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.