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

The weight of third bundle is
`(119)/(8)=14(7)/(8)`

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(3)/(4)=(143)/(4)\text{ pounds}`

Two of the bundles weigh

`12(3)/(8)=(99)/(8)\text{ pounds}` and

`8(1)/(2)=(17)/(2)\text{ pounds}`

Total weight of two bundles is

`(99)/(8)+(17)/(2)=(99+68)/(8)=(167)/(8)`

Total weight = total weight of two bundles + third bundle

`(143)/(4)=(167)/(8)+x`

`x=(143)/(4)-(167)/(8)`

`x=(143)/(4)-(167)/(8)`

`x=(286-167)/(8)`

`x=(119)/(8)`

Therefore, The weight of third bundle is
`(119)/(8)=14(7)/(8)`