Salary and Wages
Problem:
Liam earns ₱100 per hour. If he works 5 hours in a day, how much does he earn that day?
Answer: ₱100 × 5 = ₱500
Problem:
John earns ₱100 per hour. He worked 42 hours this week. Overtime applies after 40 hours of work in a week and is paid at 1.5 times the regular hourly rate.
How much did he earn this week?
Solution:
Regular pay: 40 × ₱100 = ₱4,000
Overtime (2 hours): 2 × (₱100 × 1.5) = 2 × ₱150 = ₱300
Total earnings: ₱4,300
Problem:
Carla earns a 5% commission on every sale she makes. If she sold ₱10,000 worth of products, how much commission did she earn?
Solution:
5% of ₱10,000 = 0.05 × ₱10,000 = ₱500
Problem:
Jasmine earns ₱12,000 per month. What is her gross income for one month?
Answer: ₱12,000
Sequence: ₱5, ₱10, ₱15, ₱20, …
Question: What is the rule? What is the next term?
Answer:
Rule: Add ₱5 each time
Next term: ₱20 + ₱5 = ₱25
Problem:
Ava earns ₱120 per hour and works 6 hours each day. She works 5 days a week. How much does she earn in a week?
Answer: ₱120 × 6 × 5 = ₱3,600
Problem:
Anna earns ₱120 per hour and worked 45 hours this week. Overtime applies after 40 hours per week and is paid at 1.5× the regular rate.
What is her total salary for the week?
Solution:
Regular: 40 × ₱120 = ₱4,800
Overtime (5 hours): 5 × (₱120 × 1.5) = 5 × ₱180 = ₱900
Total earnings: ₱5,700
Problem:
Marco has a base salary of ₱8,000 per month and earns a 3% commission on sales.
If he made ₱50,000 in sales this month, how much did he earn in total?
Solution:
Commission: 3% of ₱50,000 = ₱1,500
Total earnings: ₱8,000 + ₱1,500 = ₱9,500
Problem:
Allan earns a monthly salary of ₱10,000 and received a ₱2,000 commission this month.
What is his gross income?
Solution: ₱10,000 + ₱2,000 = ₱12,000
Sequence: 100, 90, 80, 70, …
Question: What is the rule? What is the next term?
Answer:
Rule: Subtract 10 each time
Next term: 70 − 10 = 60
Problem:
Noah earns a fixed salary of ₱18,000 per month. How much does he earn in 4 months?
Answer: ₱18,000 × 4 = ₱72,000
Problem:
Ryan earns ₱150 per hour, and overtime starts after 40 hours per week at 1.5×. This week, he received ₱6,075 in total. How many hours did he work?
Solution:
Regular pay (first 40 hours): 40 × ₱150 = ₱6,000
Overtime pay: ₱6,075 − ₱6,000 = ₱75
Overtime hours: ₱75 ÷ (₱150 × 1.5) = ₱75 ÷ ₱225 = 0.33 hours (or 20 minutes)
Total hours worked: 40.33 hours
Liza earns 10% commission only (no base pay).
Last week, she sold ₱75,000 worth of real estate.
How much did she earn?
Solution:
10% of ₱75,000 = 0.10 × ₱75,000 = ₱7,500
Problem:
Jona has a monthly salary of ₱15,000. This month, she earned ₱3,000 in overtime pay.
What is her gross income?
Solution: ₱15,000 + ₱3,000 = ₱18,000
Sequence: 12, 24, 48, 96, …
Question: What is the rule? What is the next term?
Answer:
Rule: Multiply by 2 each time
Next term: 96 × 2 = 192
Problem:
Emma earns ₱160 per hour and works 30 hours a week. Mia earns ₱180 per hour but only works 25 hours a week. Who earns more in a week?
Answer:
Emma: ₱160 × 30 = ₱4,800
Mia: ₱180 × 25 = ₱4,500
Emma earns more.
Problem:
Marco and Ella both get overtime pay after 40 hours/week at 1.5× the regular rate.
Marco earns ₱140/hour and worked 44 hours
Ella earns ₱160/hour and worked 41 hours
Who earned more this week?
Solution:
Marco:
Regular: 40 × ₱140 = ₱5,600
Overtime (4 hrs): 4 × ₱210 = ₱840
Total: ₱6,440
Ella:
Regular: 40 × ₱160 = ₱6,400
Overtime (1 hr): 1 × ₱240 = ₱240
Total: ₱6,640
Answer: Ella earned more
Problem:
Jasper received ₱4,200 in commission from a 7% commission rate. How much was the total value of his sales?
Solution:
Let total sales = X
0.07 × X = ₱4,200 → X = ₱4,200 ÷ 0.07 = ₱60,000
Arvin receives a basic salary of ₱14,000, earns ₱1,500 in overtime, and a ₱2,500 commission.
What is his gross income?
Solution: ₱14,000 + ₱1,500 + ₱2,500 = ₱18,000
Sequence: 1, 4, 9, 16, 25, …
Question: What is the pattern? What is the next term?
Answer:
Rule: Numbers are squares of natural numbers (1², 2², 3², ...)
Next term: 6² = 36
Problem:
Ethan works part-time earning ₱140 per hour. In one month, he worked 10 days, 6 hours each day. How much did he earn that month?
Answer: 10 × 6 × ₱140 = ₱8,400
Problem:
Sofia earns ₱130 per hour, with overtime starting after 40 hours per week at 1.5× the regular rate.
In Week 1, she worked 43 hours
In Week 2, she worked 38 hours
What is her total salary for the two weeks?
Solution:
Week 1:
Regular: 40 × ₱130 = ₱5,200
Overtime (3 hrs): 3 × ₱195 = ₱585
Total = ₱5,785
Week 2:
No overtime: 38 × ₱130 = ₱4,940
Total salary: ₱5,785 + ₱4,940 = ₱10,725
Problem:
Ella and Ryan are sales agents:
Ella earns a ₱7,000 base salary + 4% commission
Ryan has no base salary but earns 7% commission
If both had ₱100,000 in sales this month, who earned more?
Solution:
Ella: ₱7,000 + (₱100,000 × 0.04) = ₱7,000 + ₱4,000 = ₱11,000
Ryan: ₱100,000 × 0.07 = ₱7,000
Answer: Ella earned more
Problem:
Cheska earns ₱5,000 per week. How much is her gross income for 1 month, if the month has 4 weeks?
Solution: ₱5,000 × 4 = ₱20,000
Sequence: 1, 16, 81, 256, 625, …
Question: What is the pattern? What is the next term?
Answer:
Rule: Numbers are squares of natural numbers (1⁴, 2⁴, 3⁴, ...)
Next term: 6⁴ = 1,296