Question

Logan has two jobs, gardening and window cleaning, that pay him a daily

rate every day that he works. One month he worked 2 days gardening and
8 days washing windows, and earned $844. Another month he worked 2
days gardening and 7 days washing windows, and earned $756. How
much money did he earn per day at the gardening job?​

Answer 1

Amount earned by him at gardening job = $70

Step-by-step explanation:

Given: Logan worked 2 days gardening and 8 days washing windows, and earned $844. He worked 2 days gardening and 7 days washing windows, and earned $756.

To find: Amount earn per day by him at the gardening job

Solution:

Let $x be the amount earned by Logan at gardening and $y be the amount earned by him at washing windows

According to question,

`2x+8y=844\,\,(i)\\2x+7y=756\,\,(ii)`

Subtract (ii) from (i)

`y=88\\`

Put this value of y in (i)

`2x+8(88)=844\\2x+704=844\\2x=844-704\\2x=140\\x=70`

Amount earned by him at gardening job = $70