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?

magenta Oct 22, 2024

#1**0 **

*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¢**

_{.}

Bosco Oct 23, 2024