Peter's weekly wages are #20.00 for the first 20 weeks and #40.00 for next 24 weeks. Find his average weekly wage for the remaining 8 weeks of the years if his average weekly wage for the whole year is #30.00
let x be the average wage for the remaining 8 weeks
24+20+8=52weeks
#20*20+#24*40+#x*8=#30*52
400+960+8x=1560
8x+1360=1560
8x=1560-1360
8x=200
8x/8=200/8
x=#24
To find Peter's average weekly wage for the remaining 8 weeks of the year, let's first calculate his total earnings for the first 44 weeks.
Peter earns #20.00 for the first 20 weeks, so his total earnings for the first 20 weeks would be:
20 weeks * #20/week = #<<20*20=400.00>>400.00
Then, Peter earns #40.00 for the next 24 weeks, so his total earnings for the next 24 weeks would be:
24 weeks * #40/week = #<<24*40=960.00>>960.00
Now, let's calculate Peter's total earnings for the first 44 weeks:
Total earnings for 44 weeks = #400.00 + #960.00 = #<<400.00+960.00=1360.00>>1360.00
Since Peter's average weekly wage for the whole year is #30.00, we can calculate his total earnings for the whole year:
Total earnings for the whole year = #30/week * 52 weeks = #1560.00
To find Peter's earnings for the remaining 8 weeks, subtract his earnings for the first 44 weeks from his total earnings for the whole year:
Earnings for the remaining 8 weeks = Total earnings for the whole year - Total earnings for 44 weeks
Earnings for the remaining 8 weeks = #1560.00 - #1360.00 = #<<1560.00-1360.00=200.00>>200.00
Finally, we can calculate Peter's average weekly wage for the remaining 8 weeks:
Average weekly wage for the remaining 8 weeks = Earnings for the remaining 8 weeks / 8 weeks
Average weekly wage for the remaining 8 weeks = #200.00 / 8 weeks = #<<200.00/8=25.00>>25.00
Therefore, Peter's average weekly wage for the remaining 8 weeks of the year is #25.00.
let x be the average wage for the remaining 8 weeks
20(20) +8x + 24(40) = 52(30)
solve for x