Algebra and Up:
Question: Bailey sells 21 more chocolate bars than Carlos. Carlos sells 2.5 times as many chocolate bars as Devon. Devon sells as many chocolate bars as Ella. Ella sells a quarter as many chocolate bars as Fran. Fran sells 1 fewer chocolate bars than Ginny. Rewrite each statement into a system of equations.
Answer: B = C + 21, C = 2.5D, D = E, E = 0.25F, F = G – 1
Solution: Bailey’s sales are equal to Carlos’s plus 21: B = C + 21. Carlos’s sales are equal to 2.5 times Devon’s: C = 2.5D. Devon’s sales are equal to Emma’s: D = E. Emma’s sales are equal to a quarter of Fran’s sales: E = 0.25F. Fran’s sales are equal to Ginny’s sales minus 1: G – 1.
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