If one math book is sold from Alex's store, three roses are sold from Bill's store. For each pen he sells, he sells a rose. If five pens are sold from Bill's store, twenty chocolates are also sold from Alex's store.
One day, if Alex sells a total of sixty chocolates, then how many math books were sold from his store?
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Let M B represent math books, R roses, P pens, and C chocolates.
According to the problem statement,
When Alex sells 1 M B , Bill sells 3 R .
When Bill sells 1 P , Bill also sells 1 R .
When Bill sells 5 P , Alex sells 2 0 C .
If, one day, Alex sells 60 chocolates (which is 3 times 20 chocolates), Bill sells 15 pens.
Alex: ( 2 0 × 3 ) C → Bill: ( 5 × 3 ) P
Alex: 6 0 C → Bill: 1 5 P
Then Bill sells 15 roses as well, since
Bill: ( 5 × 3 ) R → Alex: ( 3 5 × 3 ) M B
Bill: 1 5 R → Alex: 5 M B
Therefore, Alex sells 5 math books on that very day.