From the understanding of the question I understand we are given the following (no punctuation used makes the question very ambiguous):

- the ratio of the length to width is 5:1
- We have the length of enlarged picture which is 15 inches
- We need to find the width of the picture

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From the understanding of the question I understand we are given the following (no punctuation used makes the question very ambiguous):

- the ratio of the length to width is 5:1
- We have the length of enlarged picture which is 15 inches
- We need to find the width of the picture

The width will be determined as follows:

l = length

w= width

x= enlarged width

`l/w = 5/1`

Now we know the ratio of the length and the width, using the ratio we can find the measurement of one side if the other one is given.

We given the length of the one side of the enlarged picture, now we can find the width of the enlarged picture:

`l/w = 5/1`

`15/x = 5/1` (substitute given information)

`15/5 = x/1` (inverse operations to obtain the unknown)

`x = 3 `

The width = 3 inches