PSLE Japheth and Ben were paid a total of $2970 for a job they did. Japheth was paid $1310 more than Ben.
- How much was Ben paid for the job?
- Japheth and Ben were paid based on the number of days they worked. Japheth worked 2 times as many days as Ben. Ben was paid $20 less than Japheth per day. How many days did Japheth work?
(a)
Amount that Ben was paid = 1 u
Amount that Japheth was paid = 1 u + 1310
Total amount paid
= 1 u + 1 u + 1310
= 2 u + 1310
2 u + 1310 = 2970
2 u = 2970 - 1310
2 u = 1660
1 u = 1660 ÷ 2 = 830
Amount that Ben was paid
= 1 u
= $830
(b)
Amount that Japheth was paid
= 1 u + 1310
= 830 + 1310
= $2140
Japheth worked 2 times as many days as Ben.
2 sets of Japheth's salary = $2140
1 set of Japheth's salary
= 2140 ÷ 2
= $1070
1 set of Ben's salary = $830
Difference between each set of Japheth's and Ben's salaries
= 1070 - 830
= $240
Number of days in 1 set
= 240 ÷ 20
= 12
Number of days that Japheth worked
= 2 x 12
= 24
Answer(s): (a) $830; (b) 24