Final answer:
To find the number of red squares in the quilt, divide the total squares (160) by the sum of the parts in the ratio (8), resulting in 20 squares per part. Then, since the ratio of red squares is 5 parts, multiply 20 by 5 to get 100 red squares.
Step-by-step explanation:
The question asks us to determine how many red squares will be in a quilt if the ratio of blue squares to red squares is 3:5 and a total of 160 squares are needed. To solve this, we need to find out the total number of parts that make up this ratio. In this case, 3 parts blue plus 5 parts red equals 8 parts in total. Knowing there are 160 squares total, we divide this number by the total number of parts to find out how many squares each part represents.
160 squares ÷ 8 parts = 20 squares per part. Since the red squares represent 5 parts, we multiply the number of squares per part by the number of red parts: 20 squares per part × 5 parts = 100 red squares in the quilt.