a student sketched some art on an 8 inch x 10 inch piece if paper he wants to resize it to fit an 4 inch x 6 inch frame. What percent of the original sketch was still able to be included?

The picture is originally 11 inches wide by 8.5
inches tall. It gets scaled down to a new width of 7 inches. We need to find the new height. To do this, we write a proportion:

8.5/11=x/7

Cross multiply:
11x = 59.5

Divide:
X = 5.41

The size of the picture is 5.41" x7", but the size of the frame is 5" x7". The part of the picture's area that is included in the frame is:
(5 × 7) / (5.41 × 7)
= 5/ 5.41
= 0.924

92.4% of the picture is inside the frame.