Alice, Bob, and Charlie go to the candy store. The candy store sells packages X,

Question

Alice, Bob, and Charlie go to the candy store. The candy store sells packages X, Y, Z, which have the following contents: Alice, Bob, and Charlie each buy some number of packages X, Y, and Z. (a) Alice opens her packages and counts her candy to find she got 58 Reeses and 74 Snickers. Describe the possible amounts of each package Alice bought. b) Bob and Charlie got 58 Reeses and 74 Snickers as well. If Alice got 3 times as many of package X than Bob, who got twice as many of package Y as Charlie, who got 2 less of package Z than Alice, how many of each package did Alice, Bob, and Charlie get?

Explanation / Answer

Here , total number of Reeses and Snickers Alice has 58 and 74 respectively

So, possible way of purchasing the packed X,Y and Z has to be 18,12 and 4 respectively.

from question,

Alice has 54 PACKAGE OF X, 12 OF Y AND 4 OF Z

Bob has 18 PACKAGES OF X A, 24 OF Y AND 4 OF Z , 12 OF Y AND 8 OF Z

Charlie HAS 18 packages of X

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