If a pumpkin weighs 50 pounds and you cut 25% of the pumpkin and took out all the pulp which is 30% of it's weight how much does it weigh now?

Worth 20 points plz help

Respuesta :

Answer:

[tex]22.5 \textrm pounds[/tex]

Step-by-step explanation:

Given: weight of pumpkin is 50 pounds

As 25[tex]\%[/tex] of the pumpkin been cut,

= [tex]\frac{25}{100} \times 50 = 12.5 \textrm pounds[/tex]

∴ [tex]W_1[/tex] [tex]12.5 \textrm pounds[/tex] is now reduced.

As now total pulp been took out, which is 30[tex]\%[/tex] of it´s weight

= [tex]\frac{30}{100} \times 50 = 15 \textrm pound[/tex].

∴ [tex]W_2[/tex]  is now reduced [tex]15 \textrm[/tex]

Now, taking out the weight of pumpkin after pumpkin been cut and pulp been taken out.

Pumpkin weight= [tex]50 -(W_1 + W_2)[/tex] [tex]= 50 -(12.5 + 15)[/tex]

Pumpkin weight = [tex]50- 27.5 = 22.5\txetrm pounds[/tex]

∴ Now the pumpkin weight is [tex]22.5 \textrm pounds[/tex]