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



Respuesta :

6.55 meters of fencing he installed on eachof the last three days

Further explanation

Fraction numbers are known as numerator and denominator

On a number line, fractions are expressed in points that lie between two integers

The general form of fractions is A /B

Decimal numbers can be changed into mixed or ordinary fractions

Mixed fractions consist of integers and ordinary fractions

Decimal numbers have numbers in the form of thousands. Hundreds, tens, thousandths, hundredths, tenths and ones

The results of the division of decimal numbers with numbers 10,100,1000, 10000 and so on can be determined by shifting the comma to the left according to the number of zeros

If you divide a decimal number, you try to make the divisor an integer

Total fencing/week = 42.6 meters

Monday + Tuesday = 13.45+9.5 meters = 22.95 meters

so for 3 days (Wednesday-Friday) = 42.6 - 22.95 = 19.65 meters

Then on eachof the last three days : 19.65 : 3 = 6.55 meters

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Keywords: fence, gardener, meters

Ver imagen ardni313

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

Further explanation:

Given:

There is a gardener installed [tex]42.6\text{ meters}[/tex] of fencing in a week and he installed [tex]13.45\text{ meters}[/tex] on Monday and [tex]9.5\text{ meters}[/tex] 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 [tex]42.6\text{ meters}[/tex] and first we need to find first the remaining length [tex]L[/tex] for the rest three days as we have given for Monday he installed [tex]13.45\text{ meters}[/tex] and [tex]9.5\text{ meters}[/tex] 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 [tex]42.6\text{ meters}[/tex] and it can be obtained as follows:

[tex]\boxed{\begin{aligned}L&=42.6-13.45-9.5\\&=19.65\end{aligned}}[/tex]

So, the remaining length for the last three days is [tex]19.65\text{ meters}[/tex].

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 [tex]19.65\text{ meters}[/tex] by [tex]3[/tex], to obtain the fence he installed in each day [tex]P[/tex] for the last three days, and it can be obtained as follows:

[tex]\boxed{\begin{aligned}P&=\dfrac{19.65}{3}\\&=6.55\end{aligned}}[/tex]  

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

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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.