PSLE Dylan and Wesley were paid a total of $3320 for a job they did. Wesley was paid $1140 less than Dylan.
- How much was Wesley paid for the job?
- Dylan and Wesley were paid based on the number of days they worked. Dylan worked 2 times as many days as Wesley. Dylan was paid $25 more than Wesley per day. How many days did Dylan work?
(a)
Amount that Wesley was paid = 1 u
Amount that Dylan was paid = 1 u + 1140
Total amount paid
= 1 u + 1 u + 1140
= 2 u + 1140
2 u + 1140 = 3320
2 u = 3320 - 1140
2 u = 2180
1 u = 2180 ÷ 2 = 1090
Amount that Wesley was paid
= 1 u
= $1090
(b)
Amount that Dylan was paid
= 1 u + 1140
= 1090 + 1140
= $2230
Dylan worked 2 times as many days as Wesley.
2 sets of Dylan's salary = $2230
1 set of Dylan's salary
= 2230 ÷ 2
= $1115
1 set of Wesley's salary = $1090
Difference between each set of Dylan's and Wesley's salaries
= 1115 - 1090
= $25
Number of days in 1 set
= 25 ÷ 25
= 1
Number of days that Dylan worked
= 2 x 1
= 2
Answer(s): (a) $1090; (b) 2