Jill and Ben have the same pens Jill has 3 full boxes of pen and 2 loose pens Ben has 2 full boxes of pen and 14 loose pens how many pens are there in a full box

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03-02-2016
Mathematics

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Jill and Ben have the same pens Jill has 3 full boxes of pen and 2 loose pens Ben has 2 full boxes of pen and 14 loose pens how many pens are there in a full box

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taskmasters taskmasters · Answer 1 · 2016-02-09T15:38:12+01:00

Let x be the number of pens in a box.

Jill : three full boxes of pen and 2 loose pens. 3x + 2
Ben: two full boxes of pen and 14 loose pens. 2x + 14

Jill and Ben have the same pens.
Jill = Ben
3x+2 = 2x + 14
3x - 2x = 14 - 2
1x = 12
x = 12

To check:
Jill    =   Ben
3x + 2    =   2(x) + 14
3(12) + 2 =   2(12) + 14
36 + 2 =   24 + 14
38 = 38

There are 12 pens or a dozen of pens in a full box.