The greatest number of students to whom 24 pens and 32 pencils can be equally divided is 8.
Step-by-step explanation:
We have to find the greatest number of students to whom 24 pens and 32 pencils can be equally divided. Let's calculate ratio of pens to pencils and then we will simplify , or we can find find HCF( Highest common factor) of pen & pencils and HCF will be the maximum number of students whom equally pens & pencils will be distributed. Ratio:
⇒ [tex]\frac{pens}{pencils} = \frac{24}{32}[/tex]
⇒ [tex]\frac{pens}{pencils} = \frac{3(8)}{4(8)}[/tex]
⇒ [tex]\frac{pens}{pencils} = \frac{3}{4}[/tex]
So , [tex]3pens + 4 pencils = Pens+ Pencils[/tex]
⇒ [tex]3pens + 4 pencils = Pens+ Pencils[/tex]
⇒ [tex]3x + 4x = 24+ 32[/tex]
⇒ [tex]7x = 56[/tex]
⇒ [tex]x = 8[/tex]
Therefore, the greatest number of students to whom 24 pens and 32 pencils can be equally divided is 8.
