Question

John has 3 bundles of wood weighing a total of 35 3/4 pounds. Two of the bundles weigh 12 3/8 pounds and 8 1/2 pounds. How much does the third bundle weigh?

Answer 1

Answer is 14 7/8. If you want steps, comment on my answer.

Answer 2

Answer:

The weight of third bundle is $\frac{119}{8}=14\frac{7}{8}$      

Step-by-step explanation:

Given : John has 3 bundles of wood weighing a total of 35 3/4 pounds. Two of the bundles weigh 12 3/8 pounds and 8 1/2 pounds.

To find : How much does the third bundle weigh?

Solution :

Let the third bundle weight be x.

The total weight of 3 bundles of wood is

$35\frac{3}{4}=\frac{143}{4}\text{ pounds}$

Two of the bundles weigh

$12\frac{3}{8}=\frac{99}{8}\text{ pounds}$  and

$8\frac{1}{2}=\frac{17}{2}\text{ pounds}$

Total weight of two bundles is

$\frac{99}{8}+\frac{17}{2}=\frac{99+68}{8}=\frac{167}{8}$

Total weight = total weight of two bundles + third bundle

$\frac{143}{4}=\frac{167}{8}+x$

$x=\frac{143}{4}-\frac{167}{8}$

$x=\frac{143}{4}-\frac{167}{8}$

$x=\frac{286-167}{8}$

$x=\frac{119}{8}$

Therefore, The weight of third bundle is $\frac{119}{8}=14\frac{7}{8}$