Respuesta :
Answer:
14 gums.
Step-by-step explanation:
Given: Jacob bought 13 pack of gum
      He already had 5 piece of gum.
      He shared gum with six of his friends.
      Each one of them received 27 pieces of gum.
Lets assume the number of gums in each pack be "x".
Total number of gum= [tex]number\ of\ gum\ in\ each\ pack\times number\ of\ pack + 5[/tex]
Also gum has been shared among jacob and his 6 friends, which is 7 person.
∴ Share of each person= [tex]\frac{Total\ number\ of\ gums}{number\ of\ person}[/tex]
Now, forming equation to find number of gums in each pack.
⇒ [tex]\frac{13\times x+5}{7} = 27[/tex]
Multiplying both side by 7
⇒ [tex]13x+5= 189[/tex]
Subtracting both side by 5
⇒ [tex]13x= 189-5[/tex]
⇒[tex]13x= 184[/tex]
Dividing both side by 13
⇒ [tex]x= \frac{184}{13}[/tex]
∴[tex]x= 14.15 \approx 14\ gum[/tex]
Hence, each pack have 14 gums.
