+0  
 
0
2
1
avatar+354 

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?

 Jun 26, 2024
 #1
avatar+943 
0

 

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?  

 

                                           Mary          2T + B = 315 ............. —>  T = (315 – B) / 2       

                                           Gary          B + M = 350 ................—>  M = (350 – B)      

                                           Larry          T + 2B + 3M = 815  

 

                                           Substitute for Toast & Muffin into Larry's order  

 

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

 

                                           [(315 – B) / 2]  +  2B  +  (1050 – 3B)  =  815   

 

Multiply both sides by 2       (315 – B)  +  4B  +  (2100 – 6B)  =  1630    

 

Combine like terms              –3B + 2415  =  1630     

 

                                                        –3B  =  – 785     

 

                                                            B  =  261 2/3  ¢    

.

 Jun 27, 2024

4 Online Users

avatar
avatar