Before noon today the shipping department at a factory has sent 36 boxes. This is 15 percent of the total number of boxes in a special order. How many boxes are there in this orders?

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Mar 9, 2018

Answer:

Total no. of boxes in the special order #color(indigo)(x = 240#

Explanation:

Let total no. of boxes in special order be “x”.

No. of boxes sent #= 15% of x = (15 / 100) * x = (3x) / 20#

Given : No. of boxes sent in the spl order = 36#

#:. (3x) / 20 = 36#

#3x = 20 * 36 = 720#

#x = cancel(720)^color(purple)(240) / cancel3 = 240#

Total no. of boxes in the special order #x = 240#

Boxes already sent #= 36#

Boxes yet to be sent #= 240 - 36 = 204#

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Write your answer here...
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Then teach the underlying concepts
Don't copy without citing sources
preview
?

Answer

Write a one sentence answer...

Answer:

Explanation

Explain in detail...

Explanation:

I want someone to double check my answer

Describe your changes (optional) 200

1
Mar 9, 2018

Answer:

See a solution process below:

Explanation:

We can reword this question as:

36 is 15 percent of what?

"Percent" or "%" means "out of 100" or "per 100", Therefore 15% can be written as #15/100#.

When dealing with percents the word "of" means "times" or "to multiply".

Finally, lets call the number of boxes we are looking for "b".

Putting this altogether we can write this equation and solve for #b# while keeping the equation balanced:

#36 = 15/100 xx b#

#color(red)(100)/color(blue)(15) xx 36 = color(red)(100)/color(blue)(15) xx 15/100 xx b#

#3600/color(blue)(15) = cancel(color(red)(100))/cancel(color(blue)(15)) xx color(blue)(cancel(color(black)(15)))/color(red)(cancel(color(black)(100))) xx b#

#240 = b#

#b = 240#

There are a total of 240 boxes in this order.

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