PSLE Japheth and Ethan were paid a total of $1540 for a job they did. Japheth was paid $890 more than Ethan.
- How much was Ethan paid for the job?
- Japheth and Ethan were paid based on the number of days they worked. Japheth worked 3 times as many days as Ethan. Ethan was paid $4 less than Japheth per day. How many days did Japheth work?
(a)
Amount that Ethan was paid = 1 u
Amount that Japheth was paid = 1 u + 890
Total amount paid
= 1 u + 1 u + 890
= 2 u + 890
2 u + 890 = 1540
2 u = 1540 - 890
2 u = 650
1 u = 650 ÷ 2 = 325
Amount that Ethan was paid
= 1 u
= $325
(b)
Amount that Japheth was paid
= 1 u + 890
= 325 + 890
= $1215
Japheth worked 3 times as many days as Ethan.
3 sets of Japheth's salary = $1215
1 set of Japheth's salary
= 1215 ÷ 3
= $405
1 set of Ethan's salary = $325
Difference between each set of Japheth's and Ethan's salaries
= 405 - 325
= $80
Number of days in 1 set
= 80 ÷ 4
= 20
Number of days that Japheth worked
= 3 x 20
= 60
Answer(s): (a) $325; (b) 60