Let's find the number of wooden beads as x.
The cost of x wooden beads at $0.50 each would be $0.50x.
The cost of 6 glass beads at $1.25 each would be $1.25 * 6.
To model the situation and find the equation, we can express the average cost of the beads in the necklace:
Average cost = (Total cost of wooden beads + Total cost of glass beads) / (Number of wooden beads + Number of glass beads)
Given that the average cost is $0.75, we can create the equation:
0.75 = (0.50x + (1.25 * 6)) / (x + 6)
This equation represents the situation where the average cost of the necklace is $0.75, taking into account the cost of wooden beads and glass beads.