Kasie M.

asked • 04/01/16# No idea how to solve this algebra problem!

The school cafeteria got rid of some old tables and bought new ones. Old tables were 2x6, new tables are 2x8.

there are now 24 new tables in the cafeteria. If the cafeteria has the same table area as before, how many old tables were removed?

**edited to read : please double check what the question is asking. The one person who replied seemed to misunderstand the original question. Please see my comment below.

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## 1 Expert Answer

Victoria V. answered • 04/01/16

Tutor

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(399)
20+ years teaching Algebra 2 subjects & beyond.

Area of an old table was 2 x 6 = 12.

Area of a new table is 2 x 8 = 16.

Since the area of the cafeteria did not change, the number of old tables (n) took up an area of 12 * n while the number of new tables (16 *24) takes up the same area.

So A (the area of the cafeteria) was 12n.

With the new tables the Area of the cafeteria is 16 * 24 = 384

Since the area of the cafeteria did not change, the A = 12n = 384.

Now we just divide both sides by 12 and get that there used to be (n = ) 32 tables.

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Kasie M.

04/01/16