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The gardening store sells clay flower pots, which hold 1 liter of dirt, and ceramic flower pots, which hold 5 liters. Matthew bought 27 flower pots, which will hold a total of 63 liters of dirt. How many of each type of flower pot did he buy?

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Philip P. | Effective and Affordable Math TutorEffective and Affordable Math Tutor
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Let x = the number of clay pots.  Since Matthew bought 27 pots in total, the number of ceramic pots he bought is 27-x.
 
63 liters =  (1 liter)*(x clay pots) + (5 liters)*(27-x ceramic pots)
 
63 = x + 135 - 5x
 
63 = 135 - 4x
 
Solve for x (clay pots), then 27-x (ceramic pots).