+330 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?
+877
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 ¢
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