Math Problem of the Week - Algebra and Up - Sept. 19, 2021 to Sept. 25, 2021

Sep 24, 2021 | West Covina

 

 

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.