1. **State the problem:** Joshua covers a floor of area 45 m² with tiles. He buys one box of tiles for every 1.5 m², each box costs 64, and he buys 5 bags of adhesive at 12 each. He charges the customer 3000. We need to find his percentage profit. 2. **Calculate the number of boxes of tiles needed:** Number of boxes = \frac{\text{Total area}}{\text{Area per box}} = \frac{45}{1.5} 3. **Simplify the fraction:** $$\frac{45}{1.5} = \frac{\cancel{45}}{\cancel{1.5}} = 30$$ So, Joshua needs 30 boxes. 4. **Calculate the total cost of tiles:** Cost of tiles = Number of boxes \times Cost per box = 30 \times 64 = 1920 5. **Calculate the total cost of adhesive:** Cost of adhesive = Number of bags \times Cost per bag = 5 \times 12 = 60 6. **Calculate total cost price:** Total cost = Cost of tiles + Cost of adhesive = 1920 + 60 = 1980 7. **Calculate profit:** Profit = Selling price - Cost price = 3000 - 1980 = 1020 8. **Calculate percentage profit:** Percentage profit = \left(\frac{\text{Profit}}{\text{Cost price}}\right) \times 100 = \left(\frac{1020}{1980}\right) \times 100 9. **Simplify the fraction:** $$\frac{1020}{1980} = \frac{\cancel{1020}}{\cancel{1980}} = \frac{17}{33}$$ 10. **Calculate the percentage:** $$\frac{17}{33} \times 100 \approx 51.5\%$$ **Final answer:** Joshua's percentage profit is **51.5%**.