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At a cafeteria, Mary orders two pieces of toast and a bagel, which comes out to $3.15. Gary orders a bagel and a muffin, which comes out to $3.50. Larry orders a piece of toast, two bagels, and three muffins, which comes out to $8.15. How many cents does one bagel cost?

 Oct 22, 2024
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At a cafeteria, Mary orders two pieces of toast and a bagel, which comes out to $3.15. Gary orders a bagel and a muffin, which comes out to $3.50. Larry orders a piece of toast, two bagels, and three muffins, which comes out to $8.15. How many cents does one bagel cost?    

 

                                        T + B = 315¢    ==>>    T = 315 – B    

                                        B + M = 350¢    ==>>    M = 350 – B    

 

                                         T + 2B + 3M = 815¢   

 

                                         (315 – B) + 2B + [3 (350 – B)]  =  815    

 

                                         315 – B + 2B + 1050 – 3B  =  815    

 

                                          – 2B + 1365  =  815    

 

                                          – 2B  =  – 550    

 

                                               B  =  275¢   

.   

 Oct 23, 2024

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