JAMB Mathematics 2019 Paper

Concept:Use the assistant’s number of working days as the unknown, then form a total payment equation.Explanation:Let the assistant work for $t$ days.Since the bricklayer worked 10 days more, he worked for $(t + 10)$ days.The total cost is the bricklayer’s pay plus the assistant’s pay:$$1500(t + 10) + 500t = ₦95,000$$Expand the brackets:$$1500t + 15,000 + 500t = ₦95,000$$Combine like terms:$$2000t + 15,000 = ₦95,000$$Subtract $₦15,000$ from both sides:$$2000t = ₦80,000$$Divide both sides by $2000$:$$t = 40 \text{ days}$$So the assistant worked for 40 days.The assistant received:$$500 \times 40 = ₦20,000$$Answer:The assistant received ₦20,000, so the correct option is A.