Question

A gardener installed 42.6 meters of fencing in week. He installed 13.45 fencing on Monday and 9.5 meters on Tuesday. He installed the rest of fence in equal lengths on Wednesday through Friday. How many meters of fencing did he install in the last three days?

Answer 1

He installed 19.65 meters of fencing in the last three days and 6.55 meters of fencing on each of the last three days.

Further explanation

Given:

• A gardener installed 42.6 meters of fencing in week.
• He installed 13.45 meters on Monday and 9.5 meters on Tuesday.
• He installed the rest of fence in equal lengths on Wednesday through Friday.

Question:

• How many meters of fencing did he install in the last three days?
• How many meters of fencing did he install on each of the last three days?

The Process:

Step-1: total fencing installed on Monday and Tuesday (in meters).

13.45

_9.5_+

22.95 meters

Step-2: total fencing installed on the last three days is total fencing in a week subtracted by total fencing installed on Monday and Tuesday.

42.6

22.95 -

19.65 meters

Final step: the amount of fencing installed on each of the last three days is total fencing in the last three days divided by three.

$\boxed{ \ 19.65 \div 3 = ? \ }$

19.65 = 18.00 + 1.50 + .15

$\boxed{ \ 18.00 \div 3 = 6. \ }$

 $\boxed{ \ 1.50 \div 3 = .5 \ }$

  $\boxed{ \ .15 \div 3 = .05 \ }$

_____________ +

$\boxed{ \ 19.65 \div 3 = 6.55 \ }$

Conclusion

He installed 19.65 meters of fencing in the last three days and 6.55 meters of fencing on each of the last three days.

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Keywords: A gardener, installed, 42.6 meters of fencing in week, 13.45 fencing on Monday, on Tuesday, on Wednesday through Friday, how many, on each, in the last three days? decimal operation

Answer 2

The gardener installed the rest of the fence in equal lengths on Wednesday through Friday is $\boxed{\bf 6.55\text{\bf\ meters}}$.

Further explanation:

Given:

There is a gardener installed $42.6\text{ meters}$ of fencing in a week and he installed $13.45\text{ meters}$ on Monday and $9.5\text{ meters}$ on Tuesday. Then he installed the rest of the fence in equal lengths on Wednesday through Friday.

Calculation:

The total fencing in meters the Gardner installed is $42.6\text{ meters}$ and first we need to find first the remaining length $L$ for the rest three days as we have given for Monday he installed $13.45\text{ meters}$ and $9.5\text{ meters}$ on Tuesday, then to we have to subtract installed fencing on Monday and Tuesday form the total fencing he installed in a week that is $42.6\text{ meters}$ and it can be obtained as follows:

$\boxed{\begin{aligned}L&=42.6-13.45-9.5\\&=19.65\end{aligned}}$

So, the remaining length for the last three days is $19.65\text{ meters}$.

As the rest of fence he installed is in equal length from Wednesday through Friday that means there are only three days remaining and the fences are divided in three equal length.

So, we have to divide the remaining fence $19.65\text{ meters}$ by $3$, to obtain the fence he installed in each day $P$ for the last three days, and it can be obtained as follows:

$\boxed{\begin{aligned}P&=\dfrac{19.65}{3}\\&=6.55\end{aligned}}$  

Therefore, he installed the rest of the fence in equal lengths on Wednesday through Friday is $\boxed{\bf 6.55\text{\bf\ meters}}$.

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Answer details:

Grade: Junior school

Subject: Mathematics

Chapter: Time and Distance

Keywords: Fencing, gardener, installed, 42.6 meters, length, Monday Tuesday, Wednesday, Friday, equal length, addition, division, numbers, rest of fence.