Basic Algebra

Step 1: Simplify the expression inside the brackets. Step 2: Solve the inner bracket: Now the expression becomes: Step 3: Simplify further: Thus, the value of the expression is 109.

Let the number of girls in the school be and the number of boys be . The total number of pupils is . From the given condition: Step 1: Multiply both sides of the equation by 4 to eliminate the fraction: Step 2: Express in terms of : Step 3: Substitute this into the total number of pupils equation: Step 4: Simplify the equation: Step 5: Multiply both sides by 3: Step 6: Solve for : Thus, the number of boys is 852.

Step 1: Understanding the climb pattern
- The monkey climbs 30 feet in the first hour but slips back 20 feet. - Net gain per hour = feet.
Step 2: Calculate the hours required
- To reach 120 feet, in the last hour, the monkey climbs 30 feet directly. - Before the last hour, he must cover feet. - Since he gains 10 feet per hour, time required to reach 90 feet = hours. - The last climb happens in the 10th hour.
Step 3: Compute the time
- Starting at 8:00 a.m., reaching 90 feet takes 9 hours, i.e., 5:00 p.m. - The final climb happens in the 10th hour, at 6:00 p.m.
Thus, the correct answer is 6 p.m.

Let the number of workers be .
Each contributes .
With an additional per worker, the total becomes 325000.