Answer:
21.
Step-by-step explanation:
We have been given that Reaner Recycling shreds 7/8 ton of aluminum each day.The machines can shred 1/24 ton aluminum per cycle.
To find the number of cycles needed to shred the aluminum, we will divide amount of aluminium by 1/24 as:
[tex]\text{Number of cycles}=\frac{7}{8}\div \frac{1}{24}[/tex]
Convert into multiplication problem by flipping the 2nd fraction:
[tex]\text{Number of cycles}=\frac{7}{8}\times \frac{24}{1}[/tex]
[tex]\text{Number of cycles}=\frac{7}{1}\times \frac{3}{1}[/tex]
[tex]\text{Number of cycles}=7\times 3[/tex]
[tex]\text{Number of cycles}=21[/tex]
Therefore, 21 cycles will be needed to shred the aluminum.
