24. 13 kigs and 6 libs can produce 510 tors in 10 hrs, 8 kigs and 14 libs can produce 484 tors in 12 hrs.Find the rate of production of tors for kigs and libs. Express the answer in tors/hr.

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24. 13 kigs and 6 libs can produce 510 tors in 10 hrs, 8 kigs and 14 libs can produce 484 tors in 12 hrs.Find the rate of production of tors for kigs and libs. Express the answer in tors/hr.

for 13 kigs and 6 libs per hr = 51 tors
for 8 kigs and 14 libs per hr = 40.3 tors
for 5 kigs and 8 libs per hr = 10 tors
13x + 6y = 51—91x + 42y = 357
8x + 14y = 40–4x + 7y =20–24x + 42y = 120
=> 67x = 237
x = 3.53
y= 2.29
so 6 tors / hr

13 Kigs & 6 Libs –> 510tors in 10hrs
” –> 51 tors/hr
14 Libs –> 484 tors in 12hrs
” –> 121/3 tors/hr
1 Lib –> 121/42 tors/hr
==> 6 Libs –> 121/7 tors/hr
Now,
13 kigs and 6 Libs –> 51 tors/hr
Only 13 Kigs –> 51 – (121/7) tors/hr
= 236/91 tors/hr

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