Reservoir Capacity and Budget Problems

The video tutorial covers a series of math problems, including budget allocation over a fiscal year, determining when a division result is not an integer, calculating the length of a floor with equal area, finding the total number of paper clips in multiple cases, summing prime numbers within a specific range, and calculating the water shortfall in reservoirs after a rainstorm. Each problem is broken down step-by-step to demonstrate the solution process.

A project has a budget of $12,600 for a fiscal year. If the monthly allocation is equal, how much should be spent each month?

• $1,200

• $1,100

• $1,050

• $1,000

After four months, the project spent $4,580. How much was it over the budget?

• $380

• $400

• $420

• $450

For which value of n is the expression (100 + n) / n not an integer?

• 1

• 2

• 4

• 3

If floor x is 12 by 18 and floor y is 9 feet wide, what is the length of floor y?

• 18

• 22

• 20

• 24

A case contains c cartons, each with b boxes, and each box has 100 paper clips. How many paper clips are in 2 cases?

• 100bc

• 200bc

• 400bc

• 300bc

What is the sum of prime numbers greater than 60 but less than 70?

• 130

• 128

• 135

• 121

A rainstorm increased the water in reservoirs from 124 billion gallons to 138 billion gallons, which is 82% of total capacity. What was the total capacity?

• 160 billion gallons

• 180 billion gallons

• 168 billion gallons

• 150 billion gallons

How many billion gallons were the reservoirs short of total capacity before the storm?

• 44

• 40

• 34

• 30

Which of the following numbers is not a prime number?

• 71

• 61

• 63

• 67

If 82% of the reservoir's capacity is 138 billion gallons, what is the remaining capacity?

• 20 billion gallons

• 30 billion gallons

• 50 billion gallons

• 40 billion gallons