If there are 10 backpacks, how many tote bags in the store?

Question

Elaine owns a bag shop. Half of her inventory is made up of tote bags, while a third of the remaining bags are backpacks. The remaining bags are handbags. If there are 10 backpacks, how many tote bags in the store?

Answer 1

Let I = total inventory

t = number of totes

b = # backpacks

 

b = 10

I/2 = t

(1/3)(I/2) = b ... I/6 = 10

 

 

I/6 = 10

I = 60

 

There are 60 bags in inventory

1/2 are totes ... 30 totes

10 backpacks

20 handbags