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algebra intermediate

Problem

Alistair Inc. shipped 32 packs of batteries to a retail store. Regular packs contain four batteries each, and super packs contain six batteries. A total of 166 batteries were shipped. How many regular packs were sent?
Solution
Call the number of regular packs and the number of super packs . We can use the following system of equations to represent the information given: Multiplying the first equation by six and subtracting the second equation from that yields . Solving for gives , or . Thus, regular packs were sent.
Final answer
13