if the weight of the remaining pizza is 5.9 lb, what was the weight of the whole pizza?

Question

Bob and Carla bought a pizza. Bob ate a third of the pizza and Carla ate a fourth of the pizza.

Answer 1

Hi, Brenda.

 

Ok, so Bob at 1/3 and Carla ate 1/4

We need to add them to see how much they ate altogether.

Get a common denominator:

1/3x(4/4) + 1/4(3/3) = (4 + 3)/12 = 7/12

So, there is 5/12 of the pizza left and it weighs 5.9 pounds.

 

5/12 x W = 5.9 (where W is the intial weight of the pizza)

Let's convert 5.9 to a fraction....5 9/10 = 59/10

(5/12)W = 59/10

50W = 708

W = 708/50 = 354/25

W = 14.16 pounds

 

 

 

 

Answer 2

Bob ate a third of the pizza and Carla ate a fourth of the pizza.

 

1/3 + 1/4 = 4/12 + 3/12 = 7/12  this is what they ate

 

1 - 7/12 = 5/12  this is left

 

5.9 lb = (5/12) (x)

 

x = 14.16 = 14.2 lbs