Question

Shaun's dog weighs 22One-fourth pounds. The vet suggested that it would be a good idea for his dog to get more exercise, so Shaun walked her an extra mile every day. Shaun weighed the dog after one week and found she had lost Seven-eighths of a pound. How much does the dog weigh now?

Answer 1

The weight of Shanu's dog now is 21.375 pounds.

Explanation:

We are given that Shaun's dog weighs 22 One-fourth pounds. Shaun weighed the dog after one week and found she had lost Seven-eighths of a pound.

And we have to find the weight of the dog after exercise.

The Original weight of Shaun's dog =
`22 (1)/(4)\text{ pounds}`

Converting the above mixed fraction into an improper fraction we get;

`22(1)/(4) = ((22 * 4)+1)/(4)`

=
`(89)/(4) \text{ pounds}`

Now, it is stated that after walking an extra mile every day, Shanu's dog lost Seven-eighths of a pound, that is =
`(7)/(8) \text{ pound}`

So, the weight of Shanu's dog now = Original weight - Weight after exercise

=
`(89)/(4)-(7)/(8)`

Making denominator same for both the fractions;

=
`(89* 2)/(4* 2)-(7* 1)/(8* 1)`

=
`(178)/(8)-(7)/(8)`

=
`(178-7)/(8)`

=
`(171)/(8)` = 21.375 pounds.

Hence, the dog weigh 21.375 pounds now.