Question

Ling worked three more hours on Tuesday than she did on Monday. On Wednesday, she worked one hour more than twice the number of hours that she worked on Monday. The total number of hours is two more than five times the number of hours worked on Monday. Write and solve an equation to find the number of hours she worked on Monday.

Answer 1

Let x be the number of hours ling work on monday.

We know that she worked three more hours on tuesday that in monday, this can be express as :

 $x+3$

We also know that in wednesday she worked on more hour than twice the number on mondays, this can be expressed as:

$2x+1$

The total number of hours she worked this three days in two more than five the number of hours she worked on monday, this can be express as :

$5x+2$

Now , once we have all the expressions we add the expressions of the days and equate them to the total

$x+(x+3)+(2x+1)=5x+2$

Now we solve the equation

$x+(x+3)+(2x+1)=5x+2\\x+x+3+2x+1=5x+2\\4x+4=5x+2\\5x-4x=4-2\\x=2$

Therefore , she worked 2 hours on monday.

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Answer 2

Answer:

2 hours (no work included)

Step-by-step explanation: