Mathematical Problem Solving Techniques

This video tutorial covers solving problems with rational numbers using all four operations. It includes practical examples such as draining and filling a tank, utility billing, furniture pricing, checking account transactions, and calculating tips. The tutorial emphasizes understanding rates, percentages, and basic arithmetic operations to solve real-world problems.

If a tank is being drained at a constant rate of 14 liters per minute, how much water will be left after 5 minutes if it started with 770 liters?

• 700 liters

• 770 liters

• 7000 liters

• 756 liters

How do you calculate the initial amount of water in a tank if the sensor started recording 15 minutes after draining began?

• Multiply the recorded amount by 15

• Divide the recorded amount by 15

• Subtract 15 times the rate from the recorded amount

• Add 15 times the rate to the recorded amount

A utility company charges 12 cents per kilowatt-hour and gives a credit of 2.5 cents for solar generation. If a customer has a charge of $82.40 and a credit of $410, what is the amount due?

• $77.95

• $327.60

• $492.40

• $82.40

If a mattress is sold for $1200 after a 50% discount, what was its original retail price?

• $2400

• $1200

• $600

• $1800

What is the wholesale price of a mattress if the retail price is $2400 and the markup is 150%?

• $1600

• $2400

• $3600

• $1200

A bank account has $85 and a monthly fee of $7.50. How many months until the balance is negative?

• 9 months

• 10 months

• 12 months

• 11 months

What is the mean total of transactions if the sums for four months are $252.20, $88, $170, and $836.90?

• $336.78

• $349.28

• $349.28

• $336.78

If a restaurant bill is $21 and you leave a 15% tip, what is the total amount paid?

• $24.15

• $21.15

• $23.15

• $25.15

How do you calculate the total amount paid including a 15% tip on a bill?

• Subtract 15 from the bill

• Add 15 to the bill

• Multiply the bill by 0.15

• Multiply the bill by 1.15

If a large aquarium is filled at a rate of 15 liters per minute, how much water will it contain after 5 minutes if it started with 225 liters?

• 300 liters

• 150 liters

• 225 liters

• 375 liters