SOLUTION: Please help me solve this question? The weekly wages of 5 carpenters and 3 apprentices amount to $8075 and the wages of 3 carpenters and 5 apprentices amount to $6925. Use simu

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Please help me solve this question? The weekly wages of 5 carpenters and 3 apprentices amount to $8075 and the wages of 3 carpenters and 5 apprentices amount to $6925. Use simu      Log On


   

Question 814859: Please help me solve this question?
The weekly wages of 5 carpenters and 3 apprentices amount to $8075 and the wages
of 3 carpenters and 5 apprentices amount to $6925. Use simultaneous equations to
determine the weekly wages of a carpenter and an apprentice.
Found 2 solutions by josgarithmetic, richwmiller:
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
x and y for wage rate of carpenter and apprentice.

5x+3y=8075 and 3x+5y=6925

Three basic ways to go. Solve both for one variable, equate and solve for the value of other variable; solve by substitution; solve by elimination.

The least advanced way:
3y=-5x%2B8075
y=-%285%2F3%29x%2B8075%2F3
and 5y=-3x%2B6925
y=-%283%2F5%29x%2B6925%2F5
y=-%283%2F5%29%2B1385
Equating the two formulas for y,
highlight%28-%285%2F3%29x%2B8075%2F3=-%283%2F5%29x%2B1385%29, and solve for x.
... then go back and solve for y.

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
5c+3a=8075,
3c+5a=6925
a = 650, c = 1225