Subjects algebra

Bead Unit Cost 222B98

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1. **State the problem:** Amy wants to decide which type of bead to buy by comparing the unit cost of pink agate beads and pink silicone beads. 2. **Formula:** Unit cost is calculated as $$\text{Unit Cost} = \frac{\text{Total Cost}}{\text{Number of Beads}}$$ 3. **Calculate unit cost for pink agate beads:** $$\text{Unit Cost}_{agate} = \frac{15.00}{33}$$ 4. **Calculate unit cost for pink silicone beads:** $$\text{Unit Cost}_{silicone} = \frac{2.50}{7}$$ 5. **Simplify the fractions:** $$\text{Unit Cost}_{agate} = \frac{15.00}{33} = \frac{\cancel{15.00}}{\cancel{33}} = 0.4545...$$ $$\text{Unit Cost}_{silicone} = \frac{2.50}{7} = 0.3571...$$ 6. **Compare unit costs:** Since $$0.3571 < 0.4545$$, pink silicone beads have a lower unit cost. 7. **Conclusion:** Amy should purchase the pink silicone beads because they cost less per bead.