### Video Transcript

Charlotte wants to enlarge one of her photos. The original size of the photo is three by five inches. Given that the enlarged photo will have a height of 10 inches, determine the width of the enlarged photo.

We are told in the question that the original photo is three inches by five inches. This means that the ratio of the width to the height is three to five. The height of the enlarged photo is 10 inches. And we need to calculate its width. If we let this width equal 𝑥 inches, then the ratio of width to height is 𝑥 to 10. As five multiplied by two is equal to 10, we can see that the scale factor of enlargement is two.

As we have multiplied the height by two, we also need to multiply the width by two. Whatever we do to one side of the ratio we must do to the other. Three multiplied by two is equal to six. This means that the width of the enlarged photo is six inches. The ratio three to five is equivalent to the ratio six to 10.