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.
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 = \(\dfrac{1}{8}\) pounds
Total weight of the cartridges in a box = \(4\dfrac{1}{2}=\dfrac{9}{2}\ pounds\)
so, Number of cartridges that box contain is given by
\(\dfrac{9}{2}\div \dfrac{1}{8}\\\\=\dfrac{9}{2}\times \dfrac{8}{1}\\\\=9\times 4\\\\=36\)
Hence, there are 36 cartridges that box contain.