Question

Copy machine was used to produce two smaller versions of a rectangular picture. each dimension of the original picture was reduced by 20 percent to produce the first smaller version, and then each dimension of the first smaller version was reduced by 15 percent to produce the second smaller version. each dimension of the second smaller version was what percent of the corresponding dimension of the original picture?

Answer 1

Each dimension of the second smaller version of a picture is 68% of the corresponding dimension of the original picture after reducing the original dimensions by 20% and then reducing the new dimensions by 15%.

Step-by-step explanation:

To calculate the dimensions of the second smaller version of the picture as a percentage of the original picture, we need to make two successive reductions: first by 20 percent, and then by 15 percent.

Let's assume that the original dimension of one side of the picture is 100 units for simplicity. A 20 percent reduction means the first smaller version has dimensions that are 80 units (since 100 - 20% of 100 = 100 - 20 = 80). Then, we apply a 15 percent reduction to these 80 units, leading to 68 units for the second smaller version (since 80 - 15% of 80 = 80 - 12 = 68).

So, each dimension of the second smaller version is 68 percent of the corresponding dimension of the original picture (68 units is 68 percent of 100 units).