### 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.