Answer to Question #278120 in Algebra for pany

Question

Iza can earn 7800 for doing hours of office work and 2hrs of field work. However, she gets 8,200 if she works two hours in the office and 3 hours in the field. What is the rate per hour of Iza?

Answer 1

Let us assume office work as ‘x’ and field work as ‘y’.

Given that, Iza zan earn 7800 for doing 3 hrs office work

So, 3x+2y = 7800 …(1)

Also, She gets 8200 for doing 2hrs office work and 3 hrs field work

2x+3y=8200 …(2)

Add (1) and (2), we get

5x+5y=16000

x+y=3200 …(3)

Subtracting (2) from (1), we get

x-y=-400 …(4)

Add (3) and (4), we get

2x=2800

x=1400

From (3),

1400+y=3200

y = 1800

Therefore, she gets 1400 for 4 hr office work and 1800 for 1 hr field work.