All the boxes in a certain warehouse were arranged in stacks of 12 boxes each, with no boxes left over. After 60 additional boxes arrived and no boxes were removed, all the boxes in the warehouse were arranged in stacks of 14 boxes each, with no boxes left over. How many boxes were in the warehouse before the 60 additional boxes arrived?

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jitumahi76 jitumahi76 · Answer 1 · 2020-01-22T11:35:08+01:00

Answer:

There were 360 boxes before addition.

Step-by-step explanation:

Let the number of stacks be 'x'.

Given:

Number of boxes in each stack = 12 boxes.

So Total number of boxes will be equal to number of boxes in each stack multiplied by Number of boxes in a stack.

framing in equation form we get;

Total number of boxes = [tex]x\times 12 =12x[/tex]

Also Given:

Additional boxes arrived = 60

So Total number of boxes will be = [tex]12x+60[/tex]

Now After addition number of boxes in each stack = 14

Now Total number of boxes after addition will be equal to number of boxes after addition in each stack multiplied by number of stacks.

framing in equation form we get;

[tex]12x+60=14x[/tex]

Combining like terms we get;

[tex]14x-12x=60\\\\2x=60[/tex]

Now Dividing both side by 2 we get;

[tex]\frac{2x}{2}=\frac{60}{2}\\\\x=30[/tex]

Now Number of boxes before addition = [tex]12x =12\times 30 =360[/tex]

Hence there were 360 boxes before addition.