Question

Question Solve the following problem by using cross-multiplication. Janae enlarges a photo measuring 5 inches by 2 inches so that its length is 7.5 inches. What is the new width of the photo?(1 point) Responses 1.33 inches 1.33 inches 0.67 inches 0.67 inches 1.5 inches 1.5 inches 3 inches

Answer 1

To solve for the new width of the photo after enlargement using cross-multiplication, we can set up a proportion based on the dimensions of the original and enlarged photo.

The original dimensions of the photo are:
- Length = 5 inches
- Width = 2 inches

The enlarged photo has:
- New Length = 7.5 inches
- New Width = x inches (this is what we want to find)

We can set up the proportion as follows:

\[
\frac{\text{original length}}{\text{new length}} = \frac{\text{original width}}{\text{new width}}
\]

This translates to:

\[
\frac{5}{7.5} = \frac{2}{x}
\]

Now, we cross-multiply:

\[
5x = 7.5 \times 2
\]

Calculating the right side:

\[
5x = 15
\]

Now, solving for \( x \):

\[
x = \frac{15}{5} = 3
\]

Thus, the new width of the photo is **3 inches**.