SOLUTION: (Simultaneous equations problems) If Jeff hires 8 bricklayers and 2 roofers, his daily payroll is $1260. If he hires 10 bricklayers and 5 roofers, his daily payroll is $1950. Wh

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Question 1111653: (Simultaneous equations problems)
If Jeff hires 8 bricklayers and 2 roofers, his daily payroll is $1260. If he hires 10 bricklayers and 5 roofers, his daily payroll is $1950. What is the daily wage of each bricklayer and each roofer?
Found 2 solutions by mananth, ikleyn:
Answer by mananth(16946)   (Show Source):
You can put this solution on YOUR website!
Brick layers x wage
roofers y wage
Equation for tickets condition I

8 x + 2 y = 1260 .............1

Equation for amount spent
10 x + 5 y = 1950 .............2
Eliminate y
multiply (1)by -5.00
Multiply (2) by 2
-40.00 x -10.00 y = -6300.00
20.00 10.00 y = 3900.00
Add the two equations
-20.00 x = -2400.00
/ -20.00
x = 120.00
plug value of x in (1)
8.00 x + 2.00 y = 1260.00
960.00 + 2.00 y = 1260.00
2.00 y = 300.00
y= 150.00

Brick layers 120.00 wage
roofers 300.00 wage
m.ananth@hotmail.ca

Answer by ikleyn(52810)   (Show Source):
You can put this solution on YOUR website!
.
Be aware:   The solution/the answer by other tutor is   D E A D L Y     W R O N G.

Below please find a correct solution.

8x + 2y = 1260 (1) 10x + 5y = 1950 (2) Multiply eq(1) by 5. Multiply eq(2) by 4. You will get 40x + 10y = 5*1260 (1') 40x + 20y = 4*1950 (2') Subtract eq(1') from eq(2'). You will get 10y = 4*1950 - 5*1260 = 1500 ====> y = = 150 dollars. Then from (1), x = = 120 dollars. Answer. $120 for bricklayer; $150 for roofer. Check. 120*8 + 150*2 = 1260 ! Correct ! 120*10 + 150*5 = 1950 ! Correct !

Solved.