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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?

 May 12, 2023
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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

 May 12, 2023

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