PSLE Japheth and Harry were paid a total of $3100 for a job they did. Harry was paid $1580 less than Japheth.
- How much was Harry paid for the job?
- Japheth and Harry were paid based on the number of days they worked. Japheth worked 3 times as many days as Harry. Japheth was paid $20 more than Harry per day. How many days did Japheth work?
(a)
Amount that Harry was paid = 1 u
Amount that Japheth was paid = 1 u + 1580
Total amount paid
= 1 u + 1 u + 1580
= 2 u + 1580
2 u + 1580 = 3100
2 u = 3100 - 1580
2 u = 1520
1 u = 1520 ÷ 2 = 760
Amount that Harry was paid
= 1 u
= $760
(b)
Amount that Japheth was paid
= 1 u + 1580
= 760 + 1580
= $2340
Japheth worked 3 times as many days as Harry.
3 sets of Japheth's salary = $2340
1 set of Japheth's salary
= 2340 ÷ 3
= $780
1 set of Harry's salary = $760
Difference between each set of Japheth's and Harry's salaries
= 780 - 760
= $20
Number of days in 1 set
= 20 ÷ 20
= 1
Number of days that Japheth worked
= 3 x 1
= 3
Answer(s): (a) $760; (b) 3