Ink cartridges weigh 1/8 pound. the total weight of the cartridges in a box is 4 1/2 pounds. how many cartridges does the box contain? show your work and explain why you chose the operation you did.



Answer :

1/8x=4.5x (x is the number of cartridges)
Multiply both sides by 8
x=36
The box contains 36 cartridges.

Answer: There are 36 cartridges that box contain.

Step-by-step explanation:

Since we have given that

Weight of ink cartridges = [tex]\dfrac{1}{8}[/tex] pounds

Total weight of the cartridges in a box = [tex]4\dfrac{1}{2}=\dfrac{9}{2}\ pounds[/tex]

so, Number of cartridges that box contain is given by

[tex]\dfrac{9}{2}\div \dfrac{1}{8}\\\\=\dfrac{9}{2}\times \dfrac{8}{1}\\\\=9\times 4\\\\=36[/tex]

Hence, there are 36 cartridges that box contain.