PSLE Fabian and Cole were paid a total of $3770 for a job they did. Fabian was paid $1310 more than Cole.
- How much was Cole paid for the job?
- Fabian and Cole were paid based on the number of days they worked. Fabian worked 2 times as many days as Cole. Cole was paid $20 less than Fabian per day. How many days did Fabian work?
(a)
Amount that Cole was paid = 1 u
Amount that Fabian was paid = 1 u + 1310
Total amount paid
= 1 u + 1 u + 1310
= 2 u + 1310
2 u + 1310 = 3770
2 u = 3770 - 1310
2 u = 2460
1 u = 2460 ÷ 2 = 1230
Amount that Cole was paid
= 1 u
= $1230
(b)
Amount that Fabian was paid
= 1 u + 1310
= 1230 + 1310
= $2540
Fabian worked 2 times as many days as Cole.
2 sets of Fabian's salary = $2540
1 set of Fabian's salary
= 2540 ÷ 2
= $1270
1 set of Cole's salary = $1230
Difference between each set of Fabian's and Cole's salaries
= 1270 - 1230
= $40
Number of days in 1 set
= 40 ÷ 20
= 2
Number of days that Fabian worked
= 2 x 2
= 4
Answer(s): (a) $1230; (b) 4