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.
ScanSolve AI Answer
Here are the solutions to the problems: 1. Writing the amount in words Step 1: Identify the given amount. The amount is 20,048,935 shillings. Step 2: Write the amount in words. The amount in words is Twenty million, forty-eight thousand, nine hundred and thirty-five shillings. 2. Length of the table top Step 1: Recall the formula for the area of a square. The area A of a square with side length s is given by A = s^2. Step 2: Substitute the given area and solve for s. 1.5625 m^2 = s^2 To find s, take the square root of the area: s = sqrt(1.5625) s = 1.25 m The length of the table top is 1.25 m. 3. Population fractions and numbers a) Fraction representing children Step 1: Find the combined fraction of women and men. Fraction of women = (4)/(15) Fraction of men = (1)/(3) Combined fraction = (4)/(15) + (1)/(3) = (4)/(15) + (5)/(15) = (9)/(15) = (3)/(5) Step 2: Subtract the combined fraction from 1 to find the fraction of children. Fraction of children = 1 - (3)/(5) = (5)/(5) - (3)/(5) = (2)/(5) The fraction representing the children is (2)/(5). b) Number of women in the town Step 1: Let the total population be P. Set up an equation based on the given information. Number of children = (2)/(5) P Number of men = (1)/(3) P Given that there are 36,000 more children than men: (2)/(5) P = (1)/(3) P + 36000 Step 2: Solve for P. (2)/(5) P - (1)/(3) P = 36000 Find a common denominator for 5 and 3, which is 15: (6)/(15) P - (5)/(15) P = 36000 (1)/(15) P = 36000 P = 36000 × 15 P = 540000 Step 3: Calculate the number of women. Number of women = (4)/(15) P = (4)/(15) × 540000 = 4 × (540000)/(15) = 4 × 36000 = 144000 There are 144,000 women in the town. **4. Determining the value of the expression