Final answer:
To make a bracelet of the same size, you would need 8 beads that are 25 millimeters in length, as the number of beads on a bracelet varies inversely with the length of the beads.
Step-by-step explanation:
The question is a problem of inverse variation, where the number of beads on a bracelet is inversely proportional to the length of the beads. Given that 25 beads of 8 millimeters each are used to make a bracelet, and we need to find how many 25-millimeter beads would be needed for the same length of the bracelet.
Using the inverse variation relationship, if we let 'N' be the number of 25-millimeter beads required, we can set up the proportion as follows: 8 millimeters x 25 beads = 25 millimeters x N beads. To find N, we divide both sides of the equation by 25 millimeters, which gives us N = (8 millimeters x 25 beads) / 25 millimeters = 8 beads.
Therefore, you would need 8 beads that are 25 millimeters in length to make a bracelet of equivalent size.