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?
How many cents does one bagel cost?
Hello Guest!
2t + b = 3.15
m = 3.50 or b + m = 3.50
t + 2b + 3m = 8.15
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b = 3.15 - 2t
b = (8,15 - t - 3*3.50) / 2
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3.15 - 2t = 4.075 - 0.5t - 5.25
-1.5t = -4.325
t = 2.883
b = 3.155 - 2 * 2.883
b = - 2.617
Larry gets 2 x 262 cents for free when he orders 2 bagels.
!
or so:
2t + b = 3.15
b + m = 3.50
t + 2b + 3m = 8.15
_______________
b = 3.5 - m
t = (3.15 - b) / 2
t = 8.15 - 2b - 3m
(3.15 - (3.5 - m)) / 2 = 8.15 - 2 (3.5 - m) - 3m
(3.15 - 3,5 + m) / 2 = 8,15 - 7 + 2m - 3m
3.15 - 3,5 + m = 16.3 - 14 + 4m - 6m
3m = 2.65
m = 0.8333..
b = 3.5 - 0.83
b = 2.6166..
262 cents does one bagel cost.
!