Thread: simultaneous equations

the weekly wage bill for 16 craftsmen & 5 apprentices was £740.00. Another weekly wage bill for 9 craftswomen and 30 apprentices was exactly the same amount. By using simultaneous equations, Fid the weely wage of a craftsperson and an apprentice.

working out showing too wuld be great.thnx

Originally Posted by jaswinder

the weekly wage bill for 16 craftsmen & 5 apprentices was £740.00. Another weekly wage bill for 9 craftswomen and 30 apprentices was exactly the same amount. By using simultaneous equations, Fid the weely wage of a craftsperson and an apprentice.

working out showing too wuld be great.thnx

Let the weekly wage for craftsmen be c
Let the weekly wage for apprentices be a, then:

16c + 5a = 740.............................(1)
9c + 30a = 740.............................(2)

96c + 30a = 4440 .........................(3) which we got by 6*(1)
9c +30a = 740...............................(2)

Subracting (2) from (3) we obtain:
87c = 3700
=> c = 42.53

But 9c + 30a = 740
=> 9(42.53) + 30a = 740
=> a = (740 - 382.77)/30 = 11.91


Times must be rough in England, a weeks work only earning 42 pounds! and 12 pounds if you're an apprentice!