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# need help plz

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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?

Jun 26, 2024

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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?

Mary          2T + B = 315 ............. —>  T = (315 – B) / 2

Gary          B + M = 350 ................—>  M = (350 – B)

Larry          T + 2B + 3M = 815

Substitute for Toast & Muffin into Larry's order

[(315 – B) / 2]  +  2B  +  [3 • (350 – B)]  =  815

[(315 – B) / 2]  +  2B  +  (1050 – 3B)  =  815

Multiply both sides by 2       (315 – B)  +  4B  +  (2100 – 6B)  =  1630

Combine like terms              –3B + 2415  =  1630

–3B  =  – 785

B  =  261 2/3  ¢

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Jun 27, 2024