Question

Noemi strings together x green beads at $0.75 each with 3 blue beads at $0.30 each. She makes a bracelet that averages $0.60 per bead. Write an equation to model the situation

Answer 1

Given that Noemi makes a bracelet that averages $0.60 per bead, we need to write an equation that models this average bead cost. This can be found by taking the total cost of the beads and dividing it by the number of beads used.

1. The total cost of the beads may be found by multiplying the price of each type of bead by the number used, and then adding these values together. Thus:

Total Cost = 0.75x + 3*0.3

= 0.75x + 0.9

2. Total number of beads = x + 3

3. Thus, the average cost is:

(0.75x + 0.9)/(x + 3)

4. Using the value of the average cost per bead given to us ($0.60), we can now write up the full equation:

0.6 = (0.75x + 0.9)/(x + 3)