# Tom got paid $39.00 for weeding his neighbor's garden 7 times. He got paid 5 dollars if done in less than a hour and 6 dollars if done more than a hour. How many times did he take more than an hour...

Tom got paid $39.00 for weeding his neighbor's garden 7 times. He got paid 5 dollars if done in less than a hour and 6 dollars if done more than a hour.

How many times did he take more than an hour to weed.

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### 1 Answer

Hi, homework4541. I hope this will assist.

We can solve this by systems of equations. We can make:

x = # times less than an hour

y = # times more than an hour

(we will assume nothing at exactly one hour)

These have to total 7 times. So:

x+y = 7

Then, for less than a hour, we get paid $5 each time. That means we got a total of 5x dollars, 5 times the number of times we weeded the garden in less than an hour. Similarly, we get paid 6y total for taking more than an hour. These have to total $39. So:

5x + 6y = 39

So, we have:

**x+y = 7**

**5x + 6y = 39**

Various ways to solve these from here. I would multiply the first equation by 6, giving us:

**6x + 6y = 42**

**5x + 6y = 39**

Subtracting the second equation from the first equation, we get:

**x = 3**

So, we weeded the garden in less than an hour 3 times. But, going back to check, we are looking for y, the number of times we took more than an hour. Since:

**x+y = 7**

And, x = 3, then:

**3+y = 7**

**y = 4**

So, we weeded the garden 4 times in more than an hour. That's our answer.

I hope this helps, homework4541. Good luck.

Steve