1. Stating the problem for Q.2.1: Lebo has 5 cups of sugar and needs to use it for brownies, cupcakes, and cookies with amounts 1 \(\frac{3}{4}\), 2 \(\frac{1}{2}\), and \(\frac{7}{8}\) cups respectively. 2. Convert mixed numbers to improper fractions: - Brownies: \(1 \frac{3}{4} = \frac{7}{4}\) - Cupcakes: \(2 \frac{1}{2} = \frac{5}{2}\) - Cookies: \(\frac{7}{8}\) (already a fraction) 3. Find the total sugar needed by adding all quantities: $$\frac{7}{4} + \frac{5}{2} + \frac{7}{8}$$ 4. Find a common denominator (8): $$\frac{7}{4} = \frac{14}{8}, \quad \frac{5}{2} = \frac{20}{8}, \quad \frac{7}{8} = \frac{7}{8}$$ 5. Add all fractions: $$\frac{14}{8} + \frac{20}{8} + \frac{7}{8} = \frac{14 + 20 + 7}{8} = \frac{41}{8}$$ 6. Convert \(\frac{41}{8}\) to mixed number: $$\frac{41}{8} = 5 \frac{1}{8}$$ 7. Compare total sugar needed (5 \(\frac{1}{8}\) cups) with sugar available (5 cups): - Lebo does not have enough sugar. - She needs more sugar. 8. Calculate how much more sugar is needed: $$\frac{41}{8} - 5 = 5 \frac{1}{8} - 5 = \frac{1}{8}$$ Answer Q.2.1: Lebo needs \(\frac{1}{8}\) more cup of sugar. 9. Stating the problem for Q.2.2: Simplify the expression \(-3^2 + 4 \times (2 + 5) - (-6)\). 10. Apply order of operations: - Calculate exponent first: \(-3^2 = -(3^2) = -9\) - Compute inside parenthesis: \(2 + 5 = 7\) 11. Replace values into expression: $$-9 + 4 \times 7 - (-6)$$ 12. Multiply: $$4 \times 7 = 28$$ 13. Simplify expression: $$-9 + 28 - (-6) = -9 + 28 + 6$$ 14. Add and subtract in order: $$-9 + 28 = 19$$ $$19 + 6 = 25$$ Answer Q.2.2: The simplified expression equals 25.