PSLE Billy and Andy were paid a total of $1820 for a job they did. Andy was paid $1360 less than Billy.
- How much was Andy paid for the job?
- Billy and Andy were paid based on the number of days they worked. Billy worked 3 times as many days as Andy. Billy was paid $20 more than Andy per day. How many days did Billy work?
(a)
Amount that Andy was paid = 1 u
Amount that Billy was paid = 1 u + 1360
Total amount paid
= 1 u + 1 u + 1360
= 2 u + 1360
2 u + 1360 = 1820
2 u = 1820 - 1360
2 u = 460
1 u = 460 ÷ 2 = 230
Amount that Andy was paid
= 1 u
= $230
(b)
Amount that Billy was paid
= 1 u + 1360
= 230 + 1360
= $1590
Billy worked 3 times as many days as Andy.
3 sets of Billy's salary = $1590
1 set of Billy's salary
= 1590 ÷ 3
= $530
1 set of Andy's salary = $230
Difference between each set of Billy's and Andy's salaries
= 530 - 230
= $300
Number of days in 1 set
= 300 ÷ 20
= 15
Number of days that Billy worked
= 3 x 15
= 45
Answer(s): (a) $230; (b) 45