This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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b) Total amount of money the three boys have altogether. Step 1: Calculate the total amount Aziza and Ahmed have. Aziza's money = GH¢ 5.00 Ahmed's money = GH¢ 6.50 Aziza and Ahmed together = GH¢ 5.00 + GH¢ 6.50 = GH¢ 11.50 Step 2: Calculate the amount Koby has. Koby has GH¢ 2.50 more than Aziza and Ahmed together. Koby's money = GH¢ 11.50 + GH¢ 2.50 = GH¢ 14.00 Step 3: Calculate the total amount of money the three boys have altogether. Total money = Aziza's money + Ahmed's money + Koby's money Total money = GH¢ 5.00 + GH¢ 6.50 + GH¢ 14.00 = GH¢ 25.50 The total amount of money the three boys have altogether is GH¢ 25.50. c) Simplify i) 5(3)/(4) - 2(7)/(8) + 1(1)/(2) Step 1: Convert mixed numbers to improper fractions. 5(3)/(4) = ((5 × 4) + 3)/(4) = (20 + 3)/(4) = (23)/(4) 2(7)/(8) = ((2 × 8) + 7)/(8) = (16 + 7)/(8) = (23)/(8) 1(1)/(2) = ((1 × 2) + 1)/(2) = (2 + 1)/(2) = (3)/(2) Step 2: Rewrite the expression with improper fractions and find a common denominator, which is 8. (23)/(4) - (23)/(8) + (3)/(2) (23 × 2)/(4 × 2) - (23)/(8) + (3 × 4)/(2 × 4) (46)/(8) - (23)/(8) + (12)/(8) Step 3: Perform the subtraction and addition. (46 - 23 + 12)/(8) = (23 + 12)/(8) = (35)/(8) Step 4: Convert the improper fraction back to a mixed number. (35)/(8) = 4(3)/(8) The simplified expression is 4(3)/(8). ii) (8)/(9) × (4)/(6) Step 1: Multiply the numerators and the denominators. (8)/(9) × (4)/(6) = (8 × 4)/(9 × 6) = (32)/(54) Step 2: Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 2. (32 ÷ 2)/(54 ÷ 2) = (16)/(27) The simplified expression is (16)/(27). That's 2 down. 3 left today — send the next one.