Question

A contractor has a daily payroll of $277 when employing some men at $8 per day and
the others at $ 9 per day . On increasing those at $ 8 by 50% and doubling those at $ 9,
he creates a daily payroll of $ 474 . Find how many he originally employed at each
wage .

Answer 1

please help! :(

Answer 2

say the contractor has \(a\) employees at $8 and \(b\) employees at $9 :

\[8a+9b = 277\tag{1}\]
\[8(1.5a)+9(2b)=474\tag{2}\]

two equations and two unknonws, you can solve them

Answer 3

how to solve the two unknowns?

Answer 4

look pls

Answer 5

a = 474 - 18b/8.5

Answer 6

help please

Answer 7

a=474-18*b/8.5

Answer 8

a=474-2.11765
a=?

Answer 9

where did you get the 2.11765?

Answer 10

by calculator.

Answer 11

huh

Answer 12

did u get the answer.

Answer 13

471.88235

Answer 14

linear equation with 2 variables
use elimination
8a+9b=277 euqation 1
8(1.5a)+9(2b)=474=12a+18b=474 equation 2
then
(8a+9b=277)3
(12a+18b=474)-2

24a+27b=831
-24a-36=-948
then
cancel out the a since its positive and negative
-9b=-118
-9b/-9=-118/-9
b=13
you can now use the value of b to substitute it into the equation 2