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?
B==Bagel, T ==Toast, M==Muffin
2T + B ==3.15...........................(1)
B + M==3.50.........................(2)
T + 2B + 3M ==8.15...............(3), solve for B, T, M
Use eliminations and substitutions to get:
B≈2.62 - cost of 1 Bagel ==262 cents
T≈0.27 - cost of 1 Toast
M≈0.88 - cost of 1 muffin