Respuesta :
Answer:
[tex](x + 3)(x + 5)[/tex]
Step-by-step explanation:
Given :
Mike packed an equal number of flashlights in each of x gift boxes.
The number of compartments in each gift box was 3 more than the number of boxes.
The number of flashlights in each compartment of a box was 2 more than the number of compartments in each box.
To Find: Which expression shows the number of flashlights in each box?
Solution :
Since we are given that there are x boxes
And we are also given that The number of compartments in each gift box was 3 more than the number of boxes.
⇒x+3
Thus no. of compartments in each box = x+3
We are also given that The number of flashlights in each compartment of a box was 2 more than the number of compartments in each box.
⇒x+3+2
⇒x+5
Thus the no. of flashlights in each box = x+5
The expression below shows the total number of flashlights that Mike packed in all the boxes: x(x + 3)(x + 5)
Since x box contains flashlights = x(x + 3)(x + 5)
So, 1 box contains flashlight [tex]=\frac{x(x + 3)(x + 5)}{x}[/tex]
[tex]=(x + 3)(x + 5)[/tex]
Hence The expression shows the number of flashlights in each box :
[tex](x + 3)(x + 5)[/tex]
