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?

sandwich May 12, 2023

#1**0 **

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**

Guest May 12, 2023