Engineering Board Exam Reviewer · Word Problems: Systems of Equations · hard
A merchant has three items on sale: a PS4 game console for P20,000, a smart phone for P12,000, and earphones for P400. At the end of the day, he has sold a total of 100 of the three sale items and has taken in exactly P400,000 on the total sales. How many PS4 game consoles did he sell?
- 4
- 16
- 20
- 80
Answer
B. 16
Solution
Let x, y, z be the number of PS4s, phones, and earphones sold. x+y+z=100; 20000x+12000y+400z=400000. Eliminating one variable and testing integer solutions gives x=16.
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