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?
+2159
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 ¢
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